Search a number
-
+
31452015144 = 23311532247857
BaseRepresentation
bin11101010010101011…
…111010101000101000
310000011221111220200210
4131102223322220220
51003403203441034
622240541501120
72162260501104
oct352253725050
9100157456623
1031452015144
111237a92a550
1261192717a0
132c73156264
14174521a904
15c413458e9
hex752afaa28

31452015144 has 64 divisors (see below), whose sum is σ = 87396719040. Its totient is φ = 9351080960.

The previous prime is 31452015109. The next prime is 31452015149. The reversal of 31452015144 is 44151025413.

It is a super-3 number, since 3×314520151443 (a number of 32 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (31452015149) 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, 1109937 + ... + 1137920.

It is an arithmetic number, because the mean of its divisors is an integer number (1365573735).

Almost surely, 231452015144 is an apocalyptic number.

It is an amenable number.

31452015144 is an abundant number, since it is smaller than the sum of its proper divisors (55944703896).

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

31452015144 is a wasteful number, since it uses less digits than its factorization.

31452015144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247930 (or 2247926 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 31452015144 in words is "thirty-one billion, four hundred fifty-two million, fifteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 159 212 264 318 424 583 636 1166 1272 1749 2332 3498 4664 6996 13992 2247857 4495714 6743571 8991428 13487142 17982856 24726427 26974284 49452854 53948568 74179281 98905708 119136421 148358562 197811416 238272842 296717124 357409263 476545684 593434248 714818526 953091368 1310500631 1429637052 2621001262 2859274104 3931501893 5242002524 7863003786 10484005048 15726007572 31452015144