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2214075341472 = 253291019780457
BaseRepresentation
bin100000001110000001001…
…011001001101010100000
321211122220201100222002220
4200032001023021222200
5242233411241411342
64413044314311040
7315650564612031
oct40160113115240
97748821328086
102214075341472
11783a9089a3a5
122b9129428480
13130a2b981267
147923a05aa88
153c8d6eb85ec
hex203812c9aa0

2214075341472 has 96 divisors (see below), whose sum is σ = 6018267729600. Its totient is φ = 711875770368.

The previous prime is 2214075341447. The next prime is 2214075341519. The reversal of 2214075341472 is 2741435704122.

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

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, 2446668 + ... + 3227124.

It is an arithmetic number, because the mean of its divisors is an integer number (62690288850).

Almost surely, 22214075341472 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 2214075341472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009133864800).

2214075341472 is an abundant number, since it is smaller than the sum of its proper divisors (3804192388128).

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

2214075341472 is a wasteful number, since it uses less digits than its factorization.

2214075341472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781518 (or 781510 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 2214075341472 in words is "two trillion, two hundred fourteen billion, seventy-five million, three hundred forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1019 1392 2038 2784 3057 4076 6114 8152 12228 16304 24456 29551 32608 48912 59102 88653 97824 118204 177306 236408 354612 472816 709224 780457 945632 1418448 1560914 2341371 2836896 3121828 4682742 6243656 9365484 12487312 18730968 22633253 24974624 37461936 45266506 67899759 74923872 90533012 135799518 181066024 271599036 362132048 543198072 724264096 795285683 1086396144 1590571366 2172792288 2385857049 3181142732 4771714098 6362285464 9543428196 12724570928 19086856392 23063284807 25449141856 38173712784 46126569614 69189854421 76347425568 92253139228 138379708842 184506278456 276759417684 369012556912 553518835368 738025113824 1107037670736 2214075341472