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314506124020 = 2251147101301153
BaseRepresentation
bin1001001001110100000…
…01101001101011110100
31010001210110202110221201
410210322001221223310
520123102031432040
6400252045422244
731502516642164
oct4447201515364
91101713673851
10314506124020
11111421564a50
1250b5356a984
132387225814a
14113179265a4
1582aae69a9a
hex493a069af4

314506124020 has 96 divisors (see below), whose sum is σ = 743122791936. Its totient is φ = 110823936000.

The previous prime is 314506123999. The next prime is 314506124027. The reversal of 314506124020 is 20421605413.

It is a self number, because there is not a number n which added to its sum of digits gives 314506124020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314506124027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 893764 + ... + 1194916.

It is an arithmetic number, because the mean of its divisors is an integer number (7740862416).

Almost surely, 2314506124020 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 314506124020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371561395968).

314506124020 is an abundant number, since it is smaller than the sum of its proper divisors (428616667916).

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

314506124020 is a wasteful number, since it uses less digits than its factorization.

314506124020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301321 (or 301319 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 314506124020 its reverse (20421605413), we get a palindrome (334927729433).

The spelling of 314506124020 in words is "three hundred fourteen billion, five hundred six million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 101 110 188 202 220 235 404 470 505 517 940 1010 1034 1111 2020 2068 2222 2585 4444 4747 5170 5555 9494 10340 11110 18988 22220 23735 47470 52217 94940 104434 208868 261085 301153 522170 602306 1044340 1204612 1505765 3011530 3312683 6023060 6625366 13250732 14154191 16563415 28308382 30416453 33126830 56616764 60832906 66253660 70770955 121665812 141541910 152082265 155696101 283083820 304164530 311392202 334580983 608329060 622784404 669161966 778480505 1338323932 1429573291 1556961010 1672904915 2859146582 3113922020 3345809830 5718293164 6691619660 7147866455 14295732910 15725306201 28591465820 31450612402 62901224804 78626531005 157253062010 314506124020