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141454218816 = 2632156712
BaseRepresentation
bin1000001110111101010…
…1000001011001000000
3111112010012001211221100
42003233111001121000
54304144240000231
6144552210454400
713135240010211
oct2035725013100
9445105054840
10141454218816
1154a99245279
12234b8894400
1310453c451c1
146bbc815408
153a2d7261e6
hex20ef541640

141454218816 has 63 divisors (see below), whose sum is σ = 405478852363. Its totient is φ = 47148397440.

The previous prime is 141454218803. The next prime is 141454218839. The reversal of 141454218816 is 618812454141.

The square root of 141454218816 is 376104.

It is a perfect power (a square), and thus also a powerful number.

141454218816 is a `hidden beast` number, since 1 + 4 + 1 + 454 + 2 + 188 + 16 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9018661 + ... + 9034331.

Almost surely, 2141454218816 is an apocalyptic number.

141454218816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

141454218816 is the 376104-th square number.

It is an amenable number.

141454218816 is an abundant number, since it is smaller than the sum of its proper divisors (264024633547).

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

141454218816 is an frugal number, since it uses more digits than its factorization.

141454218816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31360 (or 15676 counting only the distinct ones).

The product of its digits is 245760, while the sum is 45.

The spelling of 141454218816 in words is "one hundred forty-one billion, four hundred fifty-four million, two hundred eighteen thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 15671 31342 47013 62684 94026 125368 141039 188052 250736 282078 376104 501472 564156 752208 1002944 1128312 1504416 2256624 3008832 4513248 9026496 245580241 491160482 736740723 982320964 1473481446 1964641928 2210222169 2946962892 3929283856 4420444338 5893925784 7858567712 8840888676 11787851568 15717135424 17681777352 23575703136 35363554704 47151406272 70727109408 141454218816