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10014002430 = 23523149257379
BaseRepresentation
bin10010101001110000…
…11000110011111110
3221211220010000211220
421110320120303332
5131002041034210
64333402454210
7503104421235
oct112470306376
927756100756
1010014002430
114279709273
121b35804366
13c37880a33
146add69b1c
153d9226c70
hex254e18cfe

10014002430 has 128 divisors (see below), whose sum is σ = 25411968000. Its totient is φ = 2520612864.

The previous prime is 10014002423. The next prime is 10014002443. The reversal of 10014002430 is 3420041001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26421981 + ... + 26422359.

It is an arithmetic number, because the mean of its divisors is an integer number (198531000).

Almost surely, 210014002430 is an apocalyptic number.

10014002430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10014002430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12705984000).

10014002430 is an abundant number, since it is smaller than the sum of its proper divisors (15397965570).

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

10014002430 is a wasteful number, since it uses less digits than its factorization.

10014002430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10014002430 its reverse (3420041001), we get a palindrome (13434043431).

The spelling of 10014002430 in words is "ten billion, fourteen million, two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 149 230 257 298 345 379 447 514 690 745 758 771 894 1137 1285 1490 1542 1895 2235 2274 2570 3427 3790 3855 4470 5685 5911 6854 7710 8717 10281 11370 11822 17135 17434 17733 20562 26151 29555 34270 35466 38293 43585 51405 52302 56471 59110 76586 87170 88665 97403 102810 112942 114879 130755 169413 177330 191465 194806 229758 261510 282355 292209 338826 382930 487015 564710 574395 584418 847065 880739 974030 1148790 1298833 1461045 1694130 1761478 2240269 2597666 2642217 2922090 3896499 4403695 4480538 5284434 6494165 6720807 7792998 8807390 11201345 12988330 13211085 13441614 14513047 19482495 22402690 26422170 29026094 33604035 38964990 43539141 67208070 72565235 87078282 145130470 217695705 333800081 435391410 667600162 1001400243 1669000405 2002800486 3338000810 5007001215 10014002430