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113314664045000 = 2354113735523503
BaseRepresentation
bin11001110000111100100000…
…010011000101100111001000
3112212012202221202201202101002
4121300330200103011213020
5104323021412443420000
61041000012113514132
732603500003156145
oct3160744023054710
9485182852652332
10113314664045000
113311852a823220
1210861183872948
134b2c6b099c862
141dda65d70b3cc
15d17893bb78d5
hex670f204c59c8

113314664045000 has 160 divisors (see below), whose sum is σ = 290408827927680. Its totient is φ = 41094854880000.

The previous prime is 113314664044999. The next prime is 113314664045041. The reversal of 113314664045000 is 540466413311.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17753249 + ... + 23276751.

It is an arithmetic number, because the mean of its divisors is an integer number (1815055174548).

Almost surely, 2113314664045000 is an apocalyptic number.

113314664045000 is a gapful number since it is divisible by the number (10) 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 113314664045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145204413963840).

113314664045000 is an abundant number, since it is smaller than the sum of its proper divisors (177094163882680).

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

113314664045000 is a wasteful number, since it uses less digits than its factorization.

113314664045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5523913 (or 5523894 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 113314664045000 in words is "one hundred thirteen trillion, three hundred fourteen billion, six hundred sixty-four million, forty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 373 440 500 550 625 746 1000 1100 1250 1375 1492 1865 2200 2500 2750 2984 3730 4103 5000 5500 6875 7460 8206 9325 11000 13750 14920 16412 18650 20515 27500 32824 37300 41030 46625 55000 74600 82060 93250 102575 164120 186500 205150 233125 373000 410300 466250 512875 820600 932500 1025750 1865000 2051500 2564375 4103000 5128750 5523503 10257500 11047006 20515000 22094012 27617515 44188024 55235030 60758533 110470060 121517066 138087575 220940120 243034132 276175150 303792665 486068264 552350300 607585330 690437875 1104700600 1215170660 1380875750 1518963325 2060266619 2430341320 2761751500 3037926650 3452189375 4120533238 5523503000 6075853300 6904378750 7594816625 8241066476 10301333095 12151706600 13808757500 15189633250 16482132952 20602666190 22662932809 27617515000 30379266500 37974083125 41205332380 45325865618 51506665475 60758533000 75948166250 82410664760 90651731236 103013330950 113314664045 151896332500 181303462472 206026661900 226629328090 257533327375 303792665000 412053323800 453258656180 515066654750 566573320225 906517312360 1030133309500 1133146640450 1287666636875 2060266619000 2266293280900 2575333273750 2832866601125 4532586561800 5150666547500 5665733202250 10301333095000 11331466404500 14164333005625 22662932809000 28328666011250 56657332022500 113314664045000