Search a number
-
+
13114113423432 = 2337163733476753
BaseRepresentation
bin1011111011010101111000…
…0100100111100001001000
31201102200211010001001210120
42332311132010213201020
53204330201014022212
643520312431143240
72522314645606110
oct276653604474110
951380733031716
1013114113423432
1141a67341637aa
12157972a074b20
1374186a43a388
14334a25646040
1517b1dc95b88c
hexbed5e127848

13114113423432 has 64 divisors (see below), whose sum is σ = 37469202929280. Its totient is φ = 3746858806272.

The previous prime is 13114113423421. The next prime is 13114113423469. The reversal of 13114113423432 is 23432431141131.

It is a happy number.

13114113423432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×131141134234323 (a number of 40 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13114113423393 and 13114113423402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27268768 + ... + 27745520.

It is an arithmetic number, because the mean of its divisors is an integer number (585456295770).

Almost surely, 213114113423432 is an apocalyptic number.

13114113423432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13114113423432 is an abundant number, since it is smaller than the sum of its proper divisors (24355089505848).

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

13114113423432 is a wasteful number, since it uses less digits than its factorization.

13114113423432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640502 (or 640498 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

Adding to 13114113423432 its reverse (23432431141131), we get a palindrome (36546544564563).

The spelling of 13114113423432 in words is "thirteen trillion, one hundred fourteen billion, one hundred thirteen million, four hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 163733 327466 476753 491199 654932 953506 982398 1146131 1309864 1430259 1907012 1964796 2292262 2860518 3337271 3438393 3814024 3929592 4584524 5721036 6674542 6876786 9169048 10011813 11442072 13349084 13753572 20023626 26698168 27507144 40047252 80094504 78060198949 156120397898 234180596847 312240795796 468361193694 546421392643 624481591592 936722387388 1092842785286 1639264177929 1873444774776 2185685570572 3278528355858 4371371141144 6557056711716 13114113423432