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7431423104 = 27728913313
BaseRepresentation
bin1101110101111001…
…01000010010000000
3201011220112102000202
412322330220102000
5110204421014404
63225225104332
7352105024400
oct67274502200
921156472022
107431423104
113173932196
1215349280a8
139157ca1a1
14506d80800
152d763821e
hex1baf28480

7431423104 has 96 divisors (see below), whose sum is σ = 17416709100. Its totient is φ = 3148873728.

The previous prime is 7431423079. The next prime is 7431423157. The reversal of 7431423104 is 4013241347.

It can be written as a sum of positive squares in 2 ways, for example, as 7009038400 + 422384704 = 83720^2 + 20552^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 551552 + ... + 564864.

Almost surely, 27431423104 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 7431423104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8708354550).

7431423104 is an abundant number, since it is smaller than the sum of its proper divisors (9985285996).

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

7431423104 is a wasteful number, since it uses less digits than its factorization.

7431423104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13430 (or 13411 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 7431423104 is about 86205.7022707895. The cubic root of 7431423104 is about 1951.4495558941.

The spelling of 7431423104 in words is "seven billion, four hundred thirty-one million, four hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 89 98 112 128 178 196 224 356 392 448 623 712 784 896 1246 1424 1568 2492 2848 3136 4361 4984 5696 6272 8722 9968 11392 13313 17444 19936 26626 34888 39872 53252 69776 79744 93191 106504 139552 186382 213008 279104 372764 426016 558208 652337 745528 852032 1184857 1304674 1491056 1704064 2369714 2609348 2982112 4739428 5218696 5964224 8293999 9478856 10437392 11928448 16587998 18957712 20874784 33175996 37915424 41749568 58057993 66351992 75830848 83499136 116115986 132703984 151661696 232231972 265407968 464463944 530815936 928927888 1061631872 1857855776 3715711552 7431423104