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140364506232 = 23334725435437
BaseRepresentation
bin1000001010111001100…
…0000110010001111000
3111102022020120201022000
42002232120012101320
54244431303144412
6144252122301000
713066235421456
oct2025630062170
9442266521260
10140364506232
115458a117065
1223253957760
131030c256b62
146b17bd39d6
1539b7c234dc
hex20ae606478

140364506232 has 128 divisors (see below), whose sum is σ = 398427033600. Its totient is φ = 45766249344.

The previous prime is 140364506221. The next prime is 140364506239. The reversal of 140364506232 is 232605463041.

140364506232 is a `hidden beast` number, since 1 + 4 + 0 + 3 + 645 + 0 + 6 + 2 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140364506239) 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, 25813818 + ... + 25819254.

It is an arithmetic number, because the mean of its divisors is an integer number (3112711200).

Almost surely, 2140364506232 is an apocalyptic number.

140364506232 is a gapful number since it is divisible by the number (12) 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 140364506232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199213516800).

140364506232 is an abundant number, since it is smaller than the sum of its proper divisors (258062527368).

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

140364506232 is a wasteful number, since it uses less digits than its factorization.

140364506232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8042 (or 8032 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Adding to 140364506232 its reverse (232605463041), we get a palindrome (372969969273).

The spelling of 140364506232 in words is "one hundred forty billion, three hundred sixty-four million, five hundred six thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 47 54 72 94 108 141 188 216 282 376 423 564 846 1128 1269 1692 2538 2543 3384 5076 5086 5437 7629 10152 10172 10874 15258 16311 20344 21748 22887 30516 32622 43496 45774 48933 61032 65244 68661 91548 97866 119521 130488 137322 146799 183096 195732 239042 255539 274644 293598 358563 391464 478084 511078 549288 587196 717126 766617 956168 1022156 1075689 1174392 1434252 1533234 2044312 2151378 2299851 2868504 3066468 3227067 4302756 4599702 6132936 6454134 6899553 8605512 9199404 12908268 13799106 13826291 18398808 25816536 27598212 27652582 41478873 55196424 55305164 82957746 110610328 124436619 165915492 248873238 331830984 373309857 497746476 649835677 746619714 995492952 1299671354 1493239428 1949507031 2599342708 2986478856 3899014062 5198685416 5848521093 7798028124 11697042186 15596056248 17545563279 23394084372 35091126558 46788168744 70182253116 140364506232