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1372742144 = 2929591567
BaseRepresentation
bin101000111010010…
…0110001000000000
310112200001112012122
41101310212020000
510302410222034
6344114343412
746006054454
oct12164461000
93480045178
101372742144
11644971544
1232388ab68
1318b526977
14d0458664
15807ad62e
hex51d26200

1372742144 has 80 divisors (see below), whose sum is σ = 2887315200. Its totient is φ = 651055104.

The previous prime is 1372742131. The next prime is 1372742167. The reversal of 1372742144 is 4412472731.

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, 875249 + ... + 876815.

It is an arithmetic number, because the mean of its divisors is an integer number (36091440).

Almost surely, 21372742144 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 1372742144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443657600).

1372742144 is an abundant number, since it is smaller than the sum of its proper divisors (1514573056).

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

1372742144 is an equidigital number, since it uses as much as digits as its factorization.

1372742144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1657 counting only the distinct ones).

The product of its digits is 37632, while the sum is 35.

The square root of 1372742144 is about 37050.5350028849. The cubic root of 1372742144 is about 1111.3810540332.

The spelling of 1372742144 in words is "one billion, three hundred seventy-two million, seven hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 29 32 58 59 64 116 118 128 232 236 256 464 472 512 928 944 1567 1711 1856 1888 3134 3422 3712 3776 6268 6844 7424 7552 12536 13688 14848 15104 25072 27376 30208 45443 50144 54752 90886 92453 100288 109504 181772 184906 200576 219008 363544 369812 401152 438016 727088 739624 802304 876032 1454176 1479248 2681137 2908352 2958496 5362274 5816704 5916992 10724548 11633408 11833984 21449096 23266816 23667968 42898192 47335936 85796384 171592768 343185536 686371072 1372742144