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415272251440 = 245231162119421
BaseRepresentation
bin1100000101100000010…
…01111011000000110000
31110200220001000010110001
412002300021323000300
523300434144021230
6514435021315344
742000555616264
oct6026011730060
91420801003401
10415272251440
111501303a5a02
1268595a05b54
13302106bac07
14161566160a4
15ac0758a0ca
hex60b027b030

415272251440 has 80 divisors (see below), whose sum is σ = 1007625168576. Its totient is φ = 158864921600.

The previous prime is 415272251419. The next prime is 415272251477. The reversal of 415272251440 is 44152272514.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 415272251440.

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, 21372930 + ... + 21392350.

Almost surely, 2415272251440 is an apocalyptic number.

415272251440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415272251440 is an abundant number, since it is smaller than the sum of its proper divisors (592352917136).

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

415272251440 is a wasteful number, since it uses less digits than its factorization.

415272251440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31078 (or 31072 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 37.

The spelling of 415272251440 in words is "four hundred fifteen billion, two hundred seventy-two million, two hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 11621 19421 23242 38842 46484 58105 77684 92968 97105 116210 155368 185936 194210 232420 267283 310736 388420 446683 464840 534566 776840 893366 929680 1069132 1336415 1553680 1786732 2138264 2233415 2672830 3573464 4276528 4466830 5345660 7146928 8933660 10691320 17867320 21382640 35734640 225691441 451382882 902765764 1128457205 1805531528 2256914410 3611063056 4513828820 5190903143 9027657640 10381806286 18055315280 20763612572 25954515715 41527225144 51909031430 83054450288 103818062860 207636125720 415272251440