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31111744000 = 29534710343
BaseRepresentation
bin11100111110011001…
…111000101000000000
32222022020020100102211
4130332121320220000
51002204101302000
622143104351504
72150656314001
oct347631705000
988266210384
1031111744000
111221584a827
126043315594
132c1a7c839c
141711d631a8
15c2152e7ba
hex73e678a00

31111744000 has 160 divisors (see below), whose sum is σ = 79237357056. Its totient is φ = 12178739200.

The previous prime is 31111743991. The next prime is 31111744003. The reversal of 31111744000 is 44711113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×311117440002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31111744003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3002829 + ... + 3013171.

Almost surely, 231111744000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31111744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39618678528).

31111744000 is an abundant number, since it is smaller than the sum of its proper divisors (48125613056).

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

31111744000 is an equidigital number, since it uses as much as digits as its factorization.

31111744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10423 (or 10397 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The spelling of 31111744000 in words is "thirty-one billion, one hundred eleven million, seven hundred forty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 125 128 160 188 200 235 250 256 320 376 400 470 500 512 640 752 800 940 1000 1175 1280 1504 1600 1880 2000 2350 2560 3008 3200 3760 4000 4700 5875 6016 6400 7520 8000 9400 10343 11750 12032 12800 15040 16000 18800 20686 23500 24064 30080 32000 37600 41372 47000 51715 60160 64000 75200 82744 94000 103430 120320 150400 165488 188000 206860 258575 300800 330976 376000 413720 486121 517150 601600 661952 752000 827440 972242 1034300 1292875 1323904 1504000 1654880 1944484 2068600 2430605 2585750 2647808 3008000 3309760 3888968 4137200 4861210 5171500 5295616 6619520 7777936 8274400 9722420 10343000 12153025 13239040 15555872 16548800 19444840 20686000 24306050 26478080 31111744 33097600 38889680 41372000 48612100 60765125 62223488 66195200 77779360 82744000 97224200 121530250 124446976 132390400 155558720 165488000 194448400 243060500 248893952 311117440 330976000 388896800 486121000 622234880 661952000 777793600 972242000 1244469760 1555587200 1944484000 3111174400 3888968000 6222348800 7777936000 15555872000 31111744000