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31423412400 = 2435226186177
BaseRepresentation
bin11101010000111110…
…110011100010110000
310000002221200202002220
4131100332303202300
51003323343144100
622234040441040
72161462412142
oct352076634260
9100087622086
1031423412400
1112365773916
12610b779180
132c6a250263
1417414d2c92
15c3da95aa0
hex750fb38b0

31423412400 has 60 divisors (see below), whose sum is σ = 100659668232. Its totient is φ = 8379576320.

The previous prime is 31423412399. The next prime is 31423412401. The reversal of 31423412400 is 421432413.

It is an interprime number because it is at equal distance from previous prime (31423412399) and next prime (31423412401).

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (31423412401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13091889 + ... + 13094288.

Almost surely, 231423412400 is an apocalyptic number.

31423412400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31423412400 is an abundant number, since it is smaller than the sum of its proper divisors (69236255832).

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

31423412400 is a wasteful number, since it uses less digits than its factorization.

31423412400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26186198 (or 26186187 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 31423412400 its reverse (421432413), we get a palindrome (31844844813).

The spelling of 31423412400 in words is "thirty-one billion, four hundred twenty-three million, four hundred twelve thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 26186177 52372354 78558531 104744708 130930885 157117062 209489416 261861770 314234124 392792655 418978832 523723540 628468248 654654425 785585310 1047447080 1256936496 1309308850 1571170620 1963963275 2094894160 2618617700 3142341240 3927926550 5237235400 6284682480 7855853100 10474470800 15711706200 31423412400