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140320001052 = 22357111874833
BaseRepresentation
bin1000001010101110111…
…0010100110000011100
3111102012010211121200000
42002223232110300130
54244333410013202
6144243452334300
713065155220660
oct2025356246034
9442163747600
10140320001052
1154566a89720
1223240a74390
1310302c7382a
146b11d2a8a0
1539b3d8191c
hex20abb94c1c

140320001052 has 144 divisors (see below), whose sum is σ = 458599395072. Its totient is φ = 36446734080.

The previous prime is 140320001051. The next prime is 140320001111. The reversal of 140320001052 is 250100023041.

140320001052 is a `hidden beast` number, since 1 + 403 + 200 + 0 + 10 + 52 = 666.

It is a super-2 number, since 2×1403200010522 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140320001051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 862573 + ... + 1012260.

Almost surely, 2140320001052 is an apocalyptic number.

140320001052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140320001052 is an abundant number, since it is smaller than the sum of its proper divisors (318279394020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140320001052 is a wasteful number, since it uses less digits than its factorization.

140320001052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1874870 (or 1874856 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 140320001052 its reverse (250100023041), we get a palindrome (390420024093).

The spelling of 140320001052 in words is "one hundred forty billion, three hundred twenty million, one thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 81 84 99 108 126 132 154 162 189 198 231 243 252 297 308 324 378 396 462 486 567 594 693 756 891 924 972 1134 1188 1386 1701 1782 2079 2268 2673 2772 3402 3564 4158 5346 6237 6804 8316 10692 12474 18711 24948 37422 74844 1874833 3749666 5624499 7499332 11248998 13123831 16873497 20623163 22497996 26247662 33746994 39371493 41246326 50620491 52495324 61869489 67493988 78742986 82492652 101240982 118114479 123738978 144362141 151861473 157485972 185608467 202481964 236228958 247477956 288724282 303722946 354343437 371216934 433086423 455584419 472457916 556825401 577448564 607445892 708686874 742433868 866172846 911168838 1063030311 1113650802 1299259269 1417373748 1670476203 1732345692 1822337676 2126060622 2227301604 2598518538 3189090933 3340952406 3897777807 4252121244 5011428609 5197037076 6378181866 6681904812 7795555614 10022857218 11693333421 12756363732 15591111228 20045714436 23386666842 35080000263 46773333684 70160000526 140320001052