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204431310230140 = 225743271125308817
BaseRepresentation
bin101110011110110111011111…
…101000001001001001111100
3222210211102221111121121201201
4232132313133220021021330
5203243400310404331030
62002442240350345244
761026450304636510
oct5636673750111174
9883742844547651
10204431310230140
115a157917125674
121ab181a81bb224
138a0ba36368236
14386a757596140
151897ada5cd2ca
hexb9eddfa0927c

204431310230140 has 96 divisors (see below), whose sum is σ = 503897833764864. Its totient is φ = 68208094725120.

The previous prime is 204431310230137. The next prime is 204431310230179. The reversal of 204431310230140 is 41032013134402.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 204431310230099 and 204431310230108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61022989 + ... + 64285828.

It is an arithmetic number, because the mean of its divisors is an integer number (5248935768384).

Almost surely, 2204431310230140 is an apocalyptic number.

204431310230140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204431310230140 is an abundant number, since it is smaller than the sum of its proper divisors (299466523534724).

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

204431310230140 is a wasteful number, since it uses less digits than its factorization.

204431310230140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125309147 (or 125309145 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 204431310230140 its reverse (41032013134402), we get a palindrome (245463323364542).

The spelling of 204431310230140 in words is "two hundred four trillion, four hundred thirty-one billion, three hundred ten million, two hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 271 301 430 542 602 860 1084 1204 1355 1505 1897 2710 3010 3794 5420 6020 7588 9485 11653 18970 23306 37940 46612 58265 81571 116530 163142 233060 326284 407855 815710 1631420 125308817 250617634 501235268 626544085 877161719 1253088170 1754323438 2506176340 3508646876 4385808595 5388279131 8771617190 10776558262 17543234380 21553116524 26941395655 33958689407 37717953917 53882791310 67917378814 75435907834 107765582620 135834757628 150871815668 169793447035 188589769585 237710825849 339586894070 377179539170 475421651698 679173788140 754359078340 950843303396 1188554129245 1460223644501 2377108258490 2920447289002 4754216516980 5840894578004 7301118222505 10221565511507 14602236445010 20443131023014 29204472890020 40886262046028 51107827557535 102215655115070 204431310230140