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140431412304 = 243217127451699
BaseRepresentation
bin1000001011001001011…
…1010100110001010000
3111102110220110220011200
42002302113110301100
54300100420143204
6144302512311200
713101010211061
oct2026227246120
9442426426150
10140431412304
1154613964637
1223272242500
1310320081351
146b22a4c568
1539bda3c539
hex20b25d4c50

140431412304 has 120 divisors (see below), whose sum is σ = 419408870400. Its totient is φ = 43709912064.

The previous prime is 140431412299. The next prime is 140431412339. The reversal of 140431412304 is 403214134041.

140431412304 is a `hidden beast` number, since 1 + 40 + 4 + 314 + 1 + 2 + 304 = 666.

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, 85047 + ... + 536745.

It is an arithmetic number, because the mean of its divisors is an integer number (3495073920).

Almost surely, 2140431412304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140431412304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209704435200).

140431412304 is an abundant number, since it is smaller than the sum of its proper divisors (278977458096).

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

140431412304 is a wasteful number, since it uses less digits than its factorization.

140431412304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451857 (or 451848 counting only the distinct ones).

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

Adding to 140431412304 its reverse (403214134041), we get a palindrome (543645546345).

The spelling of 140431412304 in words is "one hundred forty billion, four hundred thirty-one million, four hundred twelve thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 127 136 144 153 204 254 272 306 381 408 508 612 762 816 1016 1143 1224 1524 2032 2159 2286 2448 3048 4318 4572 6096 6477 8636 9144 12954 17272 18288 19431 25908 34544 38862 51816 77724 103632 155448 310896 451699 903398 1355097 1806796 2710194 3613592 4065291 5420388 7227184 7678883 8130582 10840776 15357766 16261164 21681552 23036649 30715532 32522328 46073298 57365773 61431064 65044656 69109947 92146596 114731546 122862128 138219894 172097319 184293192 229463092 276439788 344194638 368586384 458926184 516291957 552879576 688389276 917852368 975218141 1032583914 1105759152 1376778552 1950436282 2065167828 2753557104 2925654423 3900872564 4130335656 5851308846 7801745128 8260671312 8776963269 11702617692 15603490256 17553926538 23405235384 35107853076 46810470768 70215706152 140431412304