Search a number
-
+
113534525114320 = 24567136131555999
BaseRepresentation
bin11001110100001001010001…
…000010100000011111010000
3112212222210110021010022001111
4121310021101002200133100
5104340122201412124240
61041245012451343104
732625412241342302
oct3164112102403720
9485883407108044
10113534525114320
11331a27a36517a2
12108979028b1a94
134b4734b971c4b
14200715946b972
15d1d460ab31ea
hex6742510a07d0

113534525114320 has 80 divisors (see below), whose sum is σ = 267927440832000. Its totient is φ = 44732676966912.

The previous prime is 113534525114303. The next prime is 113534525114359. The reversal of 113534525114320 is 23411525435311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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, 72187681 + ... + 73743679.

It is an arithmetic number, because the mean of its divisors is an integer number (3349093010400).

Almost surely, 2113534525114320 is an apocalyptic number.

113534525114320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113534525114320 is an abundant number, since it is smaller than the sum of its proper divisors (154392915717680).

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

113534525114320 is a wasteful number, since it uses less digits than its factorization.

113534525114320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569692 (or 1569686 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 113534525114320 in words is "one hundred thirteen trillion, five hundred thirty-four billion, five hundred twenty-five million, one hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 5360 13613 27226 54452 68065 108904 136130 217808 272260 544520 912071 1089040 1555999 1824142 3111998 3648284 4560355 6223996 7296568 7779995 9120710 12447992 14593136 15559990 18241420 24895984 31119980 36482840 62239960 72965680 104251933 124479920 208503866 417007732 521259665 834015464 1042519330 1668030928 2085038660 4170077320 8340154640 21181814387 42363628774 84727257548 105909071935 169454515096 211818143870 338909030192 423636287740 847272575480 1419181563929 1694545150960 2838363127858 5676726255716 7095907819645 11353452511432 14191815639290 22706905022864 28383631278580 56767262557160 113534525114320