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314231240992 = 25192233476679
BaseRepresentation
bin1001001001010011010…
…01000011100100100000
31010001002022111222022211
410210221221003210200
520122021144202432
6400204510011504
731462641323014
oct4445151034440
91101068458284
10314231240992
111112a0386299
1250a974a6b94
132382a312876
14112cd210544
158291c6cd47
hex4929a43920

314231240992 has 96 divisors (see below), whose sum is σ = 656106393600. Its totient is φ = 147729754368.

The previous prime is 314231240929. The next prime is 314231240993. The reversal of 314231240992 is 299042132413.

It is a happy number.

It is a super-2 number, since 2×3142312409922 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314231240993) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47044309 + ... + 47050987.

It is an arithmetic number, because the mean of its divisors is an integer number (6834441600).

Almost surely, 2314231240992 is an apocalyptic number.

314231240992 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314231240992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328053196800).

314231240992 is an abundant number, since it is smaller than the sum of its proper divisors (341875152608).

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

314231240992 is a wasteful number, since it uses less digits than its factorization.

314231240992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7278 (or 7270 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The spelling of 314231240992 in words is "three hundred fourteen billion, two hundred thirty-one million, two hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 223 304 347 446 608 694 892 1388 1784 2776 3568 4237 5552 6593 6679 7136 8474 11104 13186 13358 16948 26372 26716 33896 52744 53432 67792 77381 105488 106864 126901 135584 154762 210976 213728 253802 309524 507604 619048 1015208 1238096 1470239 1489417 2030416 2317613 2476192 2940478 2978834 4060832 4635226 5880956 5957668 9270452 11761912 11915336 18540904 23523824 23830672 28298923 37081808 44034647 47047648 47661344 56597846 74163616 88069294 113195692 176138588 226391384 352277176 452782768 516827699 704554352 905565536 1033655398 1409108704 2067310796 4134621592 8269243184 9819726281 16538486368 19639452562 39278905124 78557810248 157115620496 314231240992