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115540404240 = 24354115177761
BaseRepresentation
bin110101110011010111…
…1101010100000010000
3102001020012122200012010
41223212233222200100
53343111320413430
6125024543502520
711230125142332
oct1534657524020
9361205580163
10115540404240
1145000600898
121a4862b7a40
13ab842b9401
145840d57452
1530136e8cb0
hex1ae6bea810

115540404240 has 160 divisors (see below), whose sum is σ = 369345860352. Its totient is φ = 29859840000.

The previous prime is 115540404223. The next prime is 115540404241. The reversal of 115540404240 is 42404045511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 115540404198 and 115540404207.

It is not an unprimeable number, because it can be changed into a prime (115540404241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1446960 + ... + 1524720.

Almost surely, 2115540404240 is an apocalyptic number.

115540404240 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 115540404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184672930176).

115540404240 is an abundant number, since it is smaller than the sum of its proper divisors (253805456112).

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

115540404240 is a wasteful number, since it uses less digits than its factorization.

115540404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77969 (or 77963 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 115540404240 its reverse (42404045511), we get a palindrome (157944449751).

The spelling of 115540404240 in words is "one hundred fifteen billion, five hundred forty million, four hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 151 164 205 240 246 302 328 410 453 492 604 615 656 755 820 906 984 1208 1230 1510 1640 1812 1968 2265 2416 2460 3020 3280 3624 4530 4920 6040 6191 7248 9060 9840 12080 12382 18120 18573 24764 30955 36240 37146 49528 61910 74292 77761 92865 99056 123820 148584 155522 185730 233283 247640 297168 311044 371460 388805 466566 495280 622088 742920 777610 933132 1166415 1244176 1485840 1555220 1866264 2332830 3110440 3188201 3732528 4665660 6220880 6376402 9331320 9564603 11741911 12752804 15941005 18662640 19129206 23483822 25505608 31882010 35225733 38258412 46967644 47823015 51011216 58709555 63764020 70451466 76516824 93935288 95646030 117419110 127528040 140902932 153033648 176128665 187870576 191292060 234838220 255056080 281805864 352257330 382584120 469676440 481418351 563611728 704514660 765168240 939352880 962836702 1409029320 1444255053 1925673404 2407091755 2818058640 2888510106 3851346808 4814183510 5777020212 7221275265 7702693616 9628367020 11554040424 14442550530 19256734040 23108080848 28885101060 38513468080 57770202120 115540404240