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23133240442400 = 2552114774355061
BaseRepresentation
bin1010100001010001000001…
…00101000011111000100000
310000220111221022010120000212
411100220200211003320200
511013003334023124100
6121111133002433252
74605215156243204
oct520504045037040
9100814838116025
1023133240442400
117409830169210
122717463502828
13cba5bc146caa
1459d924b34b04
152a1b36b79635
hex150a20943e20

23133240442400 has 144 divisors (see below), whose sum is σ = 61610434679808. Its totient is φ = 8411758464000.

The previous prime is 23133240442343. The next prime is 23133240442421. The reversal of 23133240442400 is 424404233132.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420110870 + ... + 420165930.

It is an arithmetic number, because the mean of its divisors is an integer number (427850240832).

Almost surely, 223133240442400 is an apocalyptic number.

23133240442400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23133240442400 is an abundant number, since it is smaller than the sum of its proper divisors (38477194237408).

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

23133240442400 is a wasteful number, since it uses less digits than its factorization.

23133240442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102835 (or 102822 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 23133240442400 its reverse (424404233132), we get a palindrome (23557644675532).

The spelling of 23133240442400 in words is "twenty-three trillion, one hundred thirty-three billion, two hundred forty million, four hundred forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 160 176 200 220 275 352 400 440 550 800 880 1100 1760 2200 4400 8800 47743 55061 95486 110122 190972 220244 238715 275305 381944 440488 477430 525173 550610 605671 763888 880976 954860 1050346 1101220 1193575 1211342 1376525 1527776 1761952 1909720 2100692 2202440 2387150 2422684 2625865 2753050 3028355 3819440 4201384 4404880 4774300 4845368 5251730 5506100 6056710 7638880 8402768 8809760 9548600 9690736 10503460 11012200 12113420 13129325 15141775 16805536 19097200 19381472 21006920 22024400 24226840 26258650 30283550 38194400 42013840 44048800 48453680 52517300 60567100 84027680 96907360 105034600 121134200 210069200 242268400 420138400 484536800 2628777323 5257554646 10515109292 13143886615 21030218584 26287773230 28916550553 42060437168 52575546460 57833101106 65719433075 84120874336 105151092920 115666202212 131438866150 144582752765 210302185840 231332404424 262877732300 289165505530 420604371680 462664808848 525755464600 578331011060 722913763825 925329617696 1051510929200 1156662022120 1445827527650 2103021858400 2313324044240 2891655055300 4626648088480 5783310110600 11566620221200 23133240442400