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31144014002232 = 23324915857150413
BaseRepresentation
bin1110001010011010001111…
…11001000011100000111000
311002021100010212212111121200
413011031013321003200320
513040230420041032412
6150123210145334200
76363036462100035
oct705150771034070
9132240125774550
1031144014002232
119a18113a883aa
1235abb03337360
13144bb38a81911
1479954217c38c
153901d98509dc
hex1c5347e43838

31144014002232 has 96 divisors (see below), whose sum is σ = 84535152839280. Its totient is φ = 10358357022720.

The previous prime is 31144014002219. The next prime is 31144014002263. The reversal of 31144014002232 is 23220041044113.

31144014002232 is a `hidden beast` number, since 31 + 1 + 4 + 4 + 0 + 1 + 400 + 223 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 31144014002196 and 31144014002205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206981458 + ... + 207131870.

Almost surely, 231144014002232 is an apocalyptic number.

It is an amenable number.

31144014002232 is an abundant number, since it is smaller than the sum of its proper divisors (53391138837048).

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

31144014002232 is a wasteful number, since it uses less digits than its factorization.

31144014002232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156773 (or 156766 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 31144014002232 its reverse (23220041044113), we get a palindrome (54364055046345).

The spelling of 31144014002232 in words is "thirty-one trillion, one hundred forty-four billion, fourteen million, two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 491 982 1473 1964 2946 3928 4419 5857 5892 8838 11714 11784 17571 17676 23428 35142 35352 46856 52713 70284 105426 140568 150413 210852 300826 421704 451239 601652 902478 1203304 1353717 1804956 2707434 2875787 3609912 5414868 5751574 8627361 10829736 11503148 17254722 23006296 25882083 34509444 51764166 69018888 73852783 103528332 147705566 207056664 221558349 295411132 443116698 590822264 664675047 880968941 886233396 1329350094 1761937882 1772466792 2642906823 2658700188 3523875764 5285813646 5317400376 7047751528 7928720469 10571627292 15857440938 21143254584 31714881876 63429763752 432555750031 865111500062 1297667250093 1730223000124 2595334500186 3460446000248 3893001750279 5190669000372 7786003500558 10381338000744 15572007001116 31144014002232