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242531105232 = 243133710504639
BaseRepresentation
bin1110000111011111111…
…0101111100111010000
3212012000102001200122010
43201313332233213100
512433200430331412
6303230043142520
723344101244233
oct3416776574720
9765012050563
10242531105232
1193947539049
123b007214a40
1319b418a1c30
14ba4a8b941a
15649727d33c
hex3877faf9d0

242531105232 has 80 divisors (see below), whose sum is σ = 692970091520. Its totient is φ = 72608057856.

The previous prime is 242531105197. The next prime is 242531105263. The reversal of 242531105232 is 232501135242.

It is a self number, because there is not a number n which added to its sum of digits gives 242531105232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5229232 + ... + 5275407.

It is an arithmetic number, because the mean of its divisors is an integer number (8662126144).

Almost surely, 2242531105232 is an apocalyptic number.

It is an amenable number.

242531105232 is an abundant number, since it is smaller than the sum of its proper divisors (450438986288).

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

242531105232 is a wasteful number, since it uses less digits than its factorization.

242531105232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10504700 (or 10504694 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 242531105232 in words is "two hundred forty-two billion, five hundred thirty-one million, one hundred five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 37 39 48 52 74 78 104 111 148 156 208 222 296 312 444 481 592 624 888 962 1443 1776 1924 2886 3848 5772 7696 11544 23088 10504639 21009278 31513917 42018556 63027834 84037112 126055668 136560307 168074224 252111336 273120614 388671643 409680921 504222672 546241228 777343286 819361842 1092482456 1166014929 1554686572 1638723684 2184964912 2332029858 3109373144 3277447368 4664059716 5052731359 6218746288 6554894736 9328119432 10105462718 15158194077 18656238864 20210925436 30316388154 40421850872 60632776308 80843701744 121265552616 242531105232