Search a number
-
+
314145537151516 = 22712581398917523
BaseRepresentation
bin100011101101101101011010…
…1001001100101001000011100
31112012022000112121200212021121
41013123122311021211020130
5312133430030002322031
63032044244545340324
7123112160156413630
oct10733326511451034
91465260477625247
10314145537151516
1191107412a68124
122b2976149376a4
1310639a4913b865
145780a21a5adc0
15264b9a663b011
hex11db6b526521c

314145537151516 has 24 divisors (see below), whose sum is σ = 628291644140160. Its totient is φ = 134633679528432.

The previous prime is 314145537151493. The next prime is 314145537151541. The reversal of 314145537151516 is 615151735541413.

It is a super-2 number, since 2×3141455371515162 (a number of 30 digits) contains 22 as substring.

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, 30769131 + ... + 39686653.

It is an arithmetic number, because the mean of its divisors is an integer number (26178818505840).

Almost surely, 2314145537151516 is an apocalyptic number.

It is an amenable number.

314145537151516 is an abundant number, since it is smaller than the sum of its proper divisors (314146106988644).

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

314145537151516 is a wasteful number, since it uses less digits than its factorization.

314145537151516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10175673 (or 10175671 counting only the distinct ones).

The product of its digits is 3780000, while the sum is 52.

The spelling of 314145537151516 in words is "three hundred fourteen trillion, one hundred forty-five billion, five hundred thirty-seven million, one hundred fifty-one thousand, five hundred sixteen".

Divisors: 1 2 4 7 14 28 1258139 2516278 5032556 8806973 8917523 17613946 17835046 35227892 35670092 62422661 124845322 249690644 11219483469697 22438966939394 44877933878788 78536384287879 157072768575758 314145537151516