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132103404400240 = 24571347386086639
BaseRepresentation
bin11110000010010110111000…
…011111100010111001110000
3122022201221222101110221011101
4132002112320133202321300
5114303340233011301430
61144543244410054144
736553104340130260
oct3602267037427160
9568657871427141
10132103404400240
1139101814945429
1212996636a1a354
1358933b3a328b0
142489ba5ca37a0
1510414a55d6dca
hex7825b87e2e70

132103404400240 has 160 divisors (see below), whose sum is σ = 386061930455040. Its totient is φ = 40919006241792.

The previous prime is 132103404400229. The next prime is 132103404400291. The reversal of 132103404400240 is 42004404301231.

It is a super-2 number, since 2×1321034044002402 (a number of 29 digits) contains 22 as substring.

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 = 132103404400199 and 132103404400208.

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, 192701160 + ... + 193385479.

It is an arithmetic number, because the mean of its divisors is an integer number (2412887065344).

Almost surely, 2132103404400240 is an apocalyptic number.

132103404400240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132103404400240 is an abundant number, since it is smaller than the sum of its proper divisors (253958526054800).

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

132103404400240 is a wasteful number, since it uses less digits than its factorization.

132103404400240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386086719 (or 386086713 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 132103404400240 its reverse (42004404301231), we get a palindrome (174107808701471).

Subtracting from 132103404400240 its reverse (42004404301231), we obtain a palindrome (90099000099009).

The spelling of 132103404400240 in words is "one hundred thirty-two trillion, one hundred three billion, four hundred four million, four hundred thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 47 52 56 65 70 80 91 94 104 112 130 140 182 188 208 235 260 280 329 364 376 455 470 520 560 611 658 728 752 910 940 1040 1222 1316 1456 1645 1820 1880 2444 2632 3055 3290 3640 3760 4277 4888 5264 6110 6580 7280 8554 9776 12220 13160 17108 21385 24440 26320 34216 42770 48880 68432 85540 171080 342160 386086639 772173278 1544346556 1930433195 2702606473 3088693112 3860866390 5019126307 5405212946 6177386224 7721732780 10038252614 10810425892 13513032365 15443465560 18146072033 20076505228 21620851784 25095631535 27026064730 30886931120 35133884149 36292144066 40153010456 43241703568 50191263070 54052129460 70267768298 72584288132 80306020912 90730360165 100382526140 108104258920 127022504231 140535536596 145168576264 175669420745 181460720330 200765052280 216208517840 235898936429 254045008462 281071073192 290337152528 351338841490 362921440660 401530104560 471797872858 508090016924 562142146384 635112521155 702677682980 725842881320 943595745716 1016180033848 1179494682145 1270225042310 1405355365960 1451685762640 1651292555003 1887191491432 2032360067696 2358989364290 2540450084620 2810710731920 3302585110006 3774382982864 4717978728580 5080900169240 6605170220012 8256462775015 9435957457160 10161800338480 13210340440024 16512925550030 18871914914320 26420680880048 33025851100060 66051702200120 132103404400240