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31401021440 = 21254333541
BaseRepresentation
bin11101001111101001…
…011001000000000000
310000001101120011111002
4131033221121000000
51003302130141230
622231520511132
72161101164315
oct351751310000
9100041504432
1031401021440
1112354070198
12610417b4a8
132c65710779
14173c544d0c
15c3bb21545
hex74fa59000

31401021440 has 104 divisors (see below), whose sum is σ = 75548607288. Its totient is φ = 12527861760.

The previous prime is 31401021413. The next prime is 31401021541. The reversal of 31401021440 is 4412010413.

It can be written as a sum of positive squares in 4 ways, for example, as 108826624 + 31292194816 = 10432^2 + 176896^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8866070 + ... + 8869610.

Almost surely, 231401021440 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 31401021440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37774303644).

31401021440 is an abundant number, since it is smaller than the sum of its proper divisors (44147585848).

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

31401021440 is an equidigital number, since it uses as much as digits as its factorization.

31401021440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4003 (or 3981 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 31401021440 its reverse (4412010413), we get a palindrome (35813031853).

The spelling of 31401021440 in words is "thirty-one billion, four hundred one million, twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 433 512 640 866 1024 1280 1732 2048 2165 2560 3464 3541 4096 4330 5120 6928 7082 8660 10240 13856 14164 17320 17705 20480 27712 28328 34640 35410 55424 56656 69280 70820 110848 113312 138560 141640 221696 226624 277120 283280 443392 453248 554240 566560 886784 906496 1108480 1133120 1533253 1773568 1812992 2216960 2266240 3066506 3625984 4433920 4532480 6133012 7251968 7666265 8867840 9064960 12266024 14503936 15332530 18129920 24532048 30665060 36259840 49064096 61330120 72519680 98128192 122660240 196256384 245320480 392512768 490640960 785025536 981281920 1570051072 1962563840 3140102144 3925127680 6280204288 7850255360 15700510720 31401021440