Search a number
-
+
31034501040 = 2435129310421
BaseRepresentation
bin11100111001110011…
…001110011110110000
32222002211220000000110
4130321303032132300
51002024313013130
622131305021320
72146030622604
oct347163163660
988084800013
1031034501040
1112186191a74
126021484840
132c077c1baa
1417059b7504
15c19872ab0
hex739cce7b0

31034501040 has 40 divisors (see below), whose sum is σ = 96206953968. Its totient is φ = 8275866880.

The previous prime is 31034501039. The next prime is 31034501077. The reversal of 31034501040 is 4010543013.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×310345010403 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 31034500998 and 31034501016.

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, 64654971 + ... + 64655450.

Almost surely, 231034501040 is an apocalyptic number.

31034501040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31034501040 is an abundant number, since it is smaller than the sum of its proper divisors (65172452928).

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

31034501040 is a wasteful number, since it uses less digits than its factorization.

31034501040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129310437 (or 129310431 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The spelling of 31034501040 in words is "thirty-one billion, thirty-four million, five hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 129310421 258620842 387931263 517241684 646552105 775862526 1034483368 1293104210 1551725052 1939656315 2068966736 2586208420 3103450104 3879312630 5172416840 6206900208 7758625260 10344833680 15517250520 31034501040