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31423120400 = 2452718162003
BaseRepresentation
bin11101010000111101…
…101100010000010000
310000002221010220120002
4131100331230100100
51003323304323100
622234030305132
72161460054630
oct352075542020
9100087126502
1031423120400
11123655944a1
12610b6581a8
132c6a17a389
1417414586c0
15c3da392d5
hex750f6c410

31423120400 has 120 divisors (see below), whose sum is σ = 86756988864. Its totient is φ = 10713945600.

The previous prime is 31423120373. The next prime is 31423120423. The reversal of 31423120400 is 402132413.

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 23 ways as a sum of consecutive naturals, for example, 475799 + ... + 537801.

Almost surely, 231423120400 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 31423120400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43378494432).

31423120400 is an abundant number, since it is smaller than the sum of its proper divisors (55333868464).

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

31423120400 is a wasteful number, since it uses less digits than its factorization.

31423120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62209 (or 62198 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 31423120400 its reverse (402132413), we get a palindrome (31825252813).

The spelling of 31423120400 in words is "thirty-one billion, four hundred twenty-three million, one hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 181 200 280 350 362 400 560 700 724 905 1267 1400 1448 1810 2534 2800 2896 3620 4525 5068 6335 7240 9050 10136 12670 14480 18100 20272 25340 31675 36200 50680 62003 63350 72400 101360 124006 126700 248012 253400 310015 434021 496024 506800 620030 868042 992048 1240060 1550075 1736084 2170105 2480120 3100150 3472168 4340210 4960240 6200300 6944336 8680420 10850525 11222543 12400600 17360840 21701050 22445086 24801200 34721680 43402100 44890172 56112715 78557801 86804200 89780344 112225430 157115602 173608400 179560688 224450860 280563575 314231204 392789005 448901720 561127150 628462408 785578010 897803440 1122254300 1256924816 1571156020 1963945025 2244508600 3142312040 3927890050 4489017200 6284624080 7855780100 15711560200 31423120400