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14313857148 = 22323718315869
BaseRepresentation
bin11010101010010110…
…00010000001111100
31100221120001021122100
431111023002001330
5213303321412043
610324203345100
71014465530643
oct152513020174
940846037570
1014313857148
116085887808
122935822190
13147164c076
1499b05635a
1558b97ccd3
hex3552c207c

14313857148 has 72 divisors (see below), whose sum is σ = 37186778720. Its totient is φ = 4639006080.

The previous prime is 14313857143. The next prime is 14313857179. The reversal of 14313857148 is 84175831341.

14313857148 is a `hidden beast` number, since 1 + 4 + 3 + 1 + 38 + 571 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14313857141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2435958 + ... + 2441826.

Almost surely, 214313857148 is an apocalyptic number.

14313857148 is a gapful number since it is divisible by the number (18) 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 14313857148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18593389360).

14313857148 is an abundant number, since it is smaller than the sum of its proper divisors (22872921572).

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

14313857148 is a wasteful number, since it uses less digits than its factorization.

14313857148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7747 (or 7742 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 14313857148 in words is "fourteen billion, three hundred thirteen million, eight hundred fifty-seven thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1831 3662 5493 5869 7324 10986 11738 16479 17607 21972 23476 32958 35214 52821 65916 67747 70428 105642 135494 203241 211284 217153 270988 406482 434306 609723 651459 812964 868612 1219446 1302918 1954377 2438892 2605836 3908754 7817508 10746139 21492278 32238417 42984556 64476834 96715251 128953668 193430502 386861004 397607143 795214286 1192821429 1590428572 2385642858 3578464287 4771285716 7156928574 14313857148