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315014041320664 = 23724124809790043
BaseRepresentation
bin100011110100000001110110…
…0000010000011110011011000
31112022101001022011111221222011
41013220003230002003303120
5312242142224034230124
63033551241444035304
7123232004415143500
oct10750035402036330
91468331264457864
10315014041320664
1191411782a21044
122b3b79b9092b34
13106a090967015a
1457b0a9209ca00
152664388a69994
hex11e80ec083cd8

315014041320664 has 96 divisors (see below), whose sum is σ = 703871609792400. Its totient is φ = 131707712209920.

The previous prime is 315014041320499. The next prime is 315014041320677. The reversal of 315014041320664 is 466023140410513.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 398335227 + ... + 399125269.

Almost surely, 2315014041320664 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 315014041320664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351935804896200).

315014041320664 is an abundant number, since it is smaller than the sum of its proper divisors (388857568471736).

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

315014041320664 is a wasteful number, since it uses less digits than its factorization.

315014041320664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814913 (or 814902 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 315014041320664 in words is "three hundred fifteen trillion, fourteen billion, forty-one million, three hundred twenty thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 41 49 56 82 98 164 196 287 328 392 574 1148 2009 2296 4018 8036 16072 24809 49618 99236 173663 198472 347326 694652 790043 1017169 1215641 1389304 1580086 2034338 2431282 3160172 4068676 4862564 5530301 6320344 7120183 8137352 9725128 11060602 14240366 22121204 28480732 32391763 38712107 44242408 49841281 56961464 64783526 77424214 99682562 129567052 154848428 199365124 226742341 259134104 309696856 398730248 453484682 906969364 1587196387 1813938728 3174392774 6348785548 12697571096 19600176787 39200353574 78400707148 137201237509 156801414296 274402475018 548804950036 803607248267 960408662563 1097609900072 1607214496534 1920817325126 3214428993068 3841634650252 5625250737869 6428857986136 7683269300504 11250501475738 22501002951476 39376755165083 45002005902952 78753510330166 157507020660332 315014041320664