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1007144336 = 241141139571
BaseRepresentation
bin111100000001111…
…100110110010000
32121012010020022002
4330001330312100
54030312104321
6243534333132
733646404602
oct7401746620
92535106262
101007144336
114775634a0
1224135a1a8
1313086bcc3
1497a8b172
155d64320b
hex3c07cd90

1007144336 has 40 divisors (see below), whose sum is σ = 2180672928. Its totient is φ = 446624000.

The previous prime is 1007144317. The next prime is 1007144351. The reversal of 1007144336 is 6334417001.

It is a junction number, because it is equal to n+sod(n) for n = 1007144299 and 1007144308.

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, 62570 + ... + 77001.

Almost surely, 21007144336 is an apocalyptic number.

1007144336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1007144336 is an abundant number, since it is smaller than the sum of its proper divisors (1173528592).

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

1007144336 is a wasteful number, since it uses less digits than its factorization.

1007144336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139631 (or 139625 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 1007144336 is about 31735.5374304580. The cubic root of 1007144336 is about 1002.3757964546.

The spelling of 1007144336 in words is "one billion, seven million, one hundred forty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 41 44 82 88 164 176 328 451 656 902 1804 3608 7216 139571 279142 558284 1116568 1535281 2233136 3070562 5722411 6141124 11444822 12282248 22889644 24564496 45779288 62946521 91558576 125893042 251786084 503572168 1007144336