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144174043772627 = 115910116764320483
BaseRepresentation
bin100000110010000000100010…
…101010100011011011010011
3200220110220101222222221212012
4200302000202222203123103
5122344121420201211002
61230344350311053135
742240142130664011
oct4062004252433323
9626426358887765
10144174043772627
1141a35961111230
1214205a8b6711ab
13625a72816c67b
1427860bd36d8b1
1511a046ed11d52
hex832022aa36d3

144174043772627 has 64 divisors (see below), whose sum is σ = 162758089912320. Its totient is φ = 126602846832000.

The previous prime is 144174043772599. The next prime is 144174043772663. The reversal of 144174043772627 is 726277340471441.

It is not a de Polignac number, because 144174043772627 - 210 = 144174043771603 is a prime.

It is a super-2 number, since 2×1441740437726272 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (59).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144174043772827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7038706928 + ... + 7038727410.

It is an arithmetic number, because the mean of its divisors is an integer number (2543095154880).

Almost surely, 2144174043772627 is an apocalyptic number.

144174043772627 is a deficient number, since it is larger than the sum of its proper divisors (18584046139693).

144174043772627 is a wasteful number, since it uses less digits than its factorization.

144174043772627 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21464.

The product of its (nonzero) digits is 44255232, while the sum is 59.

The spelling of 144174043772627 in words is "one hundred forty-four trillion, one hundred seventy-four billion, forty-three million, seven hundred seventy-two thousand, six hundred twenty-seven".

Divisors: 1 11 59 101 167 643 649 1111 1837 5959 7073 9853 16867 20483 37937 64943 65549 107381 108383 185537 225313 417307 714373 995153 1181191 1208497 2068783 3420661 3831637 6335479 10845481 10946683 13170569 13293467 22756613 37627271 42148007 69690269 119300291 122058197 144876259 201818999 345486761 639883379 777063571 1330227469 1342640167 2199485023 2220008989 3800354371 7038717169 8547699281 14632502159 20383718899 24194335253 78483420671 129769616357 222147987323 224220907889 863317627381 1427465779927 2443627860553 13106731252057 144174043772627