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40230592320 = 2635225118617
BaseRepresentation
bin100101011101111011…
…100001111101000000
310211211201221211200210
4211131323201331000
51124343012423240
630252013114120
72622644251422
oct453573417500
9124751854623
1040230592320
1116075136506
127969188940
133a41a8b319
141d39074812
1510a6d85780
hex95dee1f40

40230592320 has 112 divisors (see below), whose sum is σ = 127795739328. Its totient is φ = 10722816000.

The previous prime is 40230592307. The next prime is 40230592321. The reversal of 40230592320 is 2329503204.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40230592321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2151652 + ... + 2170268.

Almost surely, 240230592320 is an apocalyptic number.

40230592320 is a gapful number since it is divisible by the number (40) 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 40230592320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63897869664).

40230592320 is an abundant number, since it is smaller than the sum of its proper divisors (87565147008).

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

40230592320 is a wasteful number, since it uses less digits than its factorization.

40230592320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20888 (or 20878 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 40230592320 in words is "forty billion, two hundred thirty million, five hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2251 4502 6753 9004 11255 13506 18008 18617 22510 27012 33765 36016 37234 45020 54024 55851 67530 72032 74468 90040 93085 108048 111702 135060 144064 148936 180080 186170 216096 223404 270120 279255 297872 360160 372340 432192 446808 540240 558510 595744 720320 744680 893616 1080480 1117020 1191488 1489360 1787232 2160960 2234040 2978720 3574464 4468080 5957440 8936160 17872320 41906867 83813734 125720601 167627468 209534335 251441202 335254936 419068670 502882404 628603005 670509872 838137340 1005764808 1257206010 1341019744 1676274680 2011529616 2514412020 2682039488 3352549360 4023059232 5028824040 6705098720 8046118464 10057648080 13410197440 20115296160 40230592320