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144032612020 = 225114723935821
BaseRepresentation
bin1000011000100100000…
…0110011111010110100
3111202202212202210110221
42012021000303322310
54324434322041040
6150100114424124
713256156000443
oct2061100637264
9452685683427
10144032612020
11560a1722250
1223ab8292044
131077519155b
146d85030d5a
153b2ec8974a
hex2189033eb4

144032612020 has 96 divisors (see below), whose sum is σ = 337184902656. Its totient is φ = 51230899200.

The previous prime is 144032611981. The next prime is 144032612027. The reversal of 144032612020 is 20216230441.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144032612027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24740710 + ... + 24746530.

It is an arithmetic number, because the mean of its divisors is an integer number (3512342736).

Almost surely, 2144032612020 is an apocalyptic number.

144032612020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144032612020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168592451328).

144032612020 is an abundant number, since it is smaller than the sum of its proper divisors (193152290636).

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

144032612020 is a wasteful number, since it uses less digits than its factorization.

144032612020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8281 (or 8279 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 144032612020 its reverse (20216230441), we get a palindrome (164248842461).

The spelling of 144032612020 in words is "one hundred forty-four billion, thirty-two million, six hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2393 2585 4786 5170 5821 9572 10340 11642 11965 23284 23930 26323 29105 47860 52646 58210 64031 105292 112471 116420 128062 131615 224942 256124 263230 273587 320155 449884 526460 547174 562355 640310 1094348 1124710 1237181 1280620 1367935 2249420 2474362 2735870 3009457 4948724 5471740 6018914 6185905 12037828 12371810 13929653 15047285 24743620 27859306 30094570 55718612 60189140 69648265 139296530 153226183 278593060 306452366 612904732 654693691 766130915 1309387382 1532261830 2618774764 3064523660 3273468455 6546936910 7201630601 13093873820 14403261202 28806522404 36008153005 72016306010 144032612020