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240304010425216 = 27192137238319403
BaseRepresentation
bin110110101000111000100011…
…001011011111001110000000
31011111211211122122210210210021
4312220320203023133032000
5222444120103132101331
62211030045520143224
7101421251252350543
oct6650704313371600
91144754578723707
10240304010425216
116a6283a4199521
1222b5063aa67b14
13a4117564b6bca
14434aac1b0a85a
151cbacd359e211
hexda8e232df380

240304010425216 has 128 divisors (see below), whose sum is σ = 504400367116800. Its totient is φ = 113721344299008.

The previous prime is 240304010425163. The next prime is 240304010425217. The reversal of 240304010425216 is 612524010403042.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240304010425217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12384879771 + ... + 12384899173.

It is an arithmetic number, because the mean of its divisors is an integer number (3940627868100).

Almost surely, 2240304010425216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240304010425216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252200183558400).

240304010425216 is an abundant number, since it is smaller than the sum of its proper divisors (264096356691584).

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

240304010425216 is a wasteful number, since it uses less digits than its factorization.

240304010425216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23956 (or 23944 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 240304010425216 its reverse (612524010403042), we get a palindrome (852828020828258).

The spelling of 240304010425216 in words is "two hundred forty trillion, three hundred four billion, ten million, four hundred twenty-five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 608 1216 2137 2383 2432 4274 4766 8548 9532 17096 19064 19403 34192 38128 38806 40603 45277 68384 76256 77612 81206 90554 136768 152512 155224 162412 181108 273536 305024 310448 324824 362216 368657 620896 649648 724432 737314 1241792 1299296 1448864 1474628 2483584 2598592 2897728 2949256 5092471 5197184 5795456 5898512 10184942 11797024 20369884 23594048 40739768 41464211 46237349 47188096 81479536 82928422 92474698 96756949 162959072 165856844 184949396 193513898 325918144 331713688 369898792 387027796 651836288 663427376 739797584 774055592 787820009 878509631 1326854752 1479595168 1548111184 1575640018 1757019262 2653709504 2959190336 3096222368 3151280036 3514038524 5307419008 5918380672 6192444736 6302560072 7028077048 12384889472 12605120144 14056154096 25210240288 28112308192 50420480576 56224616384 98809214813 100840961152 112449232768 197618429626 395236859252 790473718504 1580947437008 1877375081447 3161894874016 3754750162894 6323789748032 7509500325788 12647579496064 15019000651576 30038001303152 60076002606304 120152005212608 240304010425216