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10142331240 = 23351729171439
BaseRepresentation
bin10010111001000011…
…11011000101101000
3222011211120210212210
421130201323011220
5131232414044430
64354225205120
7506223251556
oct113441730550
928154523783
1010142331240
114335099638
121b707907a0
13c58332942
146c3012bd6
153e56252b0
hex25c87b168

10142331240 has 128 divisors (see below), whose sum is σ = 33327936000. Its totient is φ = 2457735168.

The previous prime is 10142331209. The next prime is 10142331313. The reversal of 10142331240 is 4213324101.

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, 26560 + ... + 144879.

It is an arithmetic number, because the mean of its divisors is an integer number (260374500).

Almost surely, 210142331240 is an apocalyptic number.

10142331240 is a gapful number since it is divisible by the number (10) 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 10142331240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16663968000).

10142331240 is an abundant number, since it is smaller than the sum of its proper divisors (23185604760).

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

10142331240 is a wasteful number, since it uses less digits than its factorization.

10142331240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171499 (or 171495 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10142331240 its reverse (4213324101), we get a palindrome (14355655341).

The spelling of 10142331240 in words is "ten billion, one hundred forty-two million, three hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 29 30 34 40 51 58 60 68 85 87 102 116 120 136 145 170 174 204 232 255 290 340 348 408 435 493 510 580 680 696 870 986 1020 1160 1479 1740 1972 2040 2465 2958 3480 3944 4930 5916 7395 9860 11832 14790 19720 29580 59160 171439 342878 514317 685756 857195 1028634 1371512 1714390 2057268 2571585 2914463 3428780 4114536 4971731 5143170 5828926 6857560 8743389 9943462 10286340 11657852 14572315 14915193 17486778 19886924 20572680 23315704 24858655 29144630 29830386 34973556 39773848 43716945 49717310 58289260 59660772 69947112 74575965 84519427 87433890 99434620 116578520 119321544 149151930 169038854 174867780 198869240 253558281 298303860 338077708 349735560 422597135 507116562 596607720 676155416 845194270 1014233124 1267791405 1690388540 2028466248 2535582810 3380777080 5071165620 10142331240