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8007144378 = 234728394129
BaseRepresentation
bin1110111010100001…
…10101001110111010
3202200000212002010220
413131100311032322
5112344312110003
63402312520510
7402265414152
oct73520651672
922600762126
108007144378
1134399080a2
1216756b0136
139a7b74c6c
1455d607762
1531ce5c353
hex1dd4353ba

8007144378 has 16 divisors (see below), whose sum is σ = 16355018880. Its totient is φ = 2612259776.

The previous prime is 8007144373. The next prime is 8007144401. The reversal of 8007144378 is 8734417008.

It is a super-2 number, since 2×80071443782 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8007144373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14196783 + ... + 14197346.

It is an arithmetic number, because the mean of its divisors is an integer number (1022188680).

Almost surely, 28007144378 is an apocalyptic number.

8007144378 is an abundant number, since it is smaller than the sum of its proper divisors (8347874502).

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

8007144378 is a wasteful number, since it uses less digits than its factorization.

8007144378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28394181.

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 8007144378 is about 89482.6484744389. The cubic root of 8007144378 is about 2000.5951876916.

The spelling of 8007144378 in words is "eight billion, seven million, one hundred forty-four thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 47 94 141 282 28394129 56788258 85182387 170364774 1334524063 2669048126 4003572189 8007144378