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240902434272 = 25319711860193
BaseRepresentation
bin1110000001011011100…
…1110110110111100000
3212000210220102122002110
43200112321312313200
512421332010344042
6302400303115320
723255533622343
oct3402671666740
9760726378073
10240902434272
1193191164495
123a8318a2b40
131994233b0c6
14b93448045a
1563ee2b909c
hex3816e76de0

240902434272 has 96 divisors (see below), whose sum is σ = 675027198720. Its totient is φ = 75002941440.

The previous prime is 240902434271. The next prime is 240902434303. The reversal of 240902434272 is 272434209042.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 240902434272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240902434271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 800593 + ... + 1059600.

It is an arithmetic number, because the mean of its divisors is an integer number (7031533320).

Almost surely, 2240902434272 is an apocalyptic number.

It is an amenable number.

240902434272 is an abundant number, since it is smaller than the sum of its proper divisors (434124764448).

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

240902434272 is a wasteful number, since it uses less digits than its factorization.

240902434272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1860296 (or 1860288 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 39.

The spelling of 240902434272 in words is "two hundred forty billion, nine hundred two million, four hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 71 76 96 114 142 152 213 228 284 304 426 456 568 608 852 912 1136 1349 1704 1824 2272 2698 3408 4047 5396 6816 8094 10792 16188 21584 32376 43168 64752 129504 1860193 3720386 5580579 7440772 11161158 14881544 22322316 29763088 35343667 44644632 59526176 70687334 89289264 106031001 132073703 141374668 178578528 212062002 264147406 282749336 396221109 424124004 528294812 565498672 792442218 848248008 1056589624 1130997344 1584884436 1696496016 2113179248 2509400357 3169768872 3392992032 4226358496 5018800714 6339537744 7528201071 10037601428 12679075488 15056402142 20075202856 30112804284 40150405712 60225608568 80300811424 120451217136 240902434272