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102240311400240 = 243513171927607681
BaseRepresentation
bin10111001111110010101101…
…011100010101011100110000
3111102000002010002110101001220
4113033302231130111130300
5101400101124204301430
61001240314535025040
730351422140635456
oct2717625534253460
9442002102411056
10102240311400240
112a638966427872
12b572a3550b180
1345082b243b820
141b366594509d6
15bc4789c1a110
hex5cfcad715730

102240311400240 has 160 divisors (see below), whose sum is σ = 361403309082816. Its totient is φ = 23686443171840.

The previous prime is 102240311400239. The next prime is 102240311400287. The reversal of 102240311400240 is 42004113042201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102240311400240.

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, 963750801 + ... + 963856880.

Almost surely, 2102240311400240 is an apocalyptic number.

102240311400240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102240311400240 is an abundant number, since it is smaller than the sum of its proper divisors (259162997682576).

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

102240311400240 is a wasteful number, since it uses less digits than its factorization.

102240311400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1927607727 (or 1927607721 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102240311400240 its reverse (42004113042201), we get a palindrome (144244424442441).

The spelling of 102240311400240 in words is "one hundred two trillion, two hundred forty billion, three hundred eleven million, four hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 34 39 40 48 51 52 60 65 68 78 80 85 102 104 120 130 136 156 170 195 204 208 221 240 255 260 272 312 340 390 408 442 510 520 624 663 680 780 816 884 1020 1040 1105 1326 1360 1560 1768 2040 2210 2652 3120 3315 3536 4080 4420 5304 6630 8840 10608 13260 17680 26520 53040 1927607681 3855215362 5782823043 7710430724 9638038405 11565646086 15420861448 19276076810 23131292172 25058899853 28914115215 30841722896 32769330577 38552153620 46262584344 50117799706 57828230430 65538661154 75176699559 77104307240 92525168688 98307991731 100235599412 115656460860 125294499265 131077322308 150353399118 154208614480 163846652885 196615983462 200471198824 231312921720 250588998530 262154644616 300706798236 327693305770 375883497795 393231966924 400942397648 426001297501 462625843440 491539958655 501177997060 524309289232 601413596472 655386611540 751766995590 786463933848 852002595002 983079917310 1002355994120 1202827192944 1278003892503 1310773223080 1503533991180 1572927867696 1704005190004 1966159834620 2004711988240 2130006487505 2556007785006 2621546446160 3007067982360 3408010380008 3932319669240 4260012975010 5112015570012 6014135964720 6390019462515 6816020760016 7864639338480 8520025950020 10224031140024 12780038925030 17040051900040 20448062280048 25560077850060 34080103800080 51120155700120 102240311400240