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45314554240 = 275306123131
BaseRepresentation
bin101010001100111101…
…010011100110000000
311022222001022212100201
4222030331103212000
51220301011213430
632452304054544
73162636233014
oct521475234600
9138861285321
1045314554240
111824398032a
128947904454
134372136707
14229c350544
1512a33748ca
hexa8cf53980

45314554240 has 64 divisors (see below), whose sum is σ = 108370181520. Its totient is φ = 18119116800.

The previous prime is 45314554223. The next prime is 45314554261. The reversal of 45314554240 is 4245541354.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 45314554240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1947475 + ... + 1970605.

Almost surely, 245314554240 is an apocalyptic number.

45314554240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45314554240 is an abundant number, since it is smaller than the sum of its proper divisors (63055627280).

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

45314554240 is a wasteful number, since it uses less digits than its factorization.

45314554240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26211 (or 26199 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 37.

The spelling of 45314554240 in words is "forty-five billion, three hundred fourteen million, five hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3061 6122 12244 15305 23131 24488 30610 46262 48976 61220 92524 97952 115655 122440 185048 195904 231310 244880 370096 391808 462620 489760 740192 925240 979520 1480384 1850480 1959040 2960768 3700960 7401920 14803840 70803991 141607982 283215964 354019955 566431928 708039910 1132863856 1416079820 2265727712 2832159640 4531455424 5664319280 9062910848 11328638560 22657277120 45314554240