Search a number
-
+
31387142970 = 232523102114851
BaseRepresentation
bin11101001110110100…
…011100101100111010
310000000102110001210200
4131032310130230322
51003240102033340
622230303223030
72160542212311
oct351664345472
9100012401720
1031387142970
1112347251087
1260bb5a7a76
132c62891761
14173a771278
15c3a7ce330
hex74ed1cb3a

31387142970 has 96 divisors (see below), whose sum is σ = 85243826304. Its totient is φ = 7997616000.

The previous prime is 31387142923. The next prime is 31387143059. The reversal of 31387142970 is 7924178313.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2106045 + ... + 2120895.

It is an arithmetic number, because the mean of its divisors is an integer number (887956524).

Almost surely, 231387142970 is an apocalyptic number.

31387142970 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31387142970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42621913152).

31387142970 is an abundant number, since it is smaller than the sum of its proper divisors (53856683334).

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

31387142970 is a wasteful number, since it uses less digits than its factorization.

31387142970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15908 (or 15905 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 31387142970 in words is "thirty-one billion, three hundred eighty-seven million, one hundred forty-two thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1021 1035 2042 2070 3063 5105 6126 9189 10210 14851 15315 18378 23483 29702 30630 44553 45945 46966 70449 74255 89106 91890 117415 133659 140898 148510 211347 222765 234830 267318 341573 352245 422694 445530 668295 683146 704490 1024719 1056735 1336590 1707865 2049438 2113470 3074157 3415730 5123595 6148314 10247190 15162871 15370785 30325742 30741570 45488613 75814355 90977226 136465839 151628710 227443065 272931678 348746033 454886130 682329195 697492066 1046238099 1364658390 1743730165 2092476198 3138714297 3487460330 5231190495 6277428594 10462380990 15693571485 31387142970