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142451437410 = 23255329864033
BaseRepresentation
bin1000010010101011000…
…1000110111101100010
3111121200200111210200100
42010222301012331202
54313220031444120
6145235152403230
713202036145102
oct2045261067542
9447620453610
10142451437410
1155460139377
1223736846516
131058271a389
146c7503b202
153a8b058490
hex212ac46f62

142451437410 has 48 divisors (see below), whose sum is σ = 377361933624. Its totient is φ = 37270311936.

The previous prime is 142451437393. The next prime is 142451437433. The reversal of 142451437410 is 14734154241.

142451437410 is a `hidden beast` number, since 142 + 45 + 1 + 437 + 41 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 81599921649 + 60851515761 = 285657^2 + 246681^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14927247 + ... + 14936786.

Almost surely, 2142451437410 is an apocalyptic number.

142451437410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142451437410 is an abundant number, since it is smaller than the sum of its proper divisors (234910496214).

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

142451437410 is a wasteful number, since it uses less digits than its factorization.

142451437410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29864099 (or 29864096 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 142451437410 in words is "one hundred forty-two billion, four hundred fifty-one million, four hundred thirty-seven thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 53 90 106 159 265 318 477 530 795 954 1590 2385 4770 29864033 59728066 89592099 149320165 179184198 268776297 298640330 447960495 537552594 895920990 1343881485 1582793749 2687762970 3165587498 4748381247 7913968745 9496762494 14245143741 15827937490 23741906235 28490287482 47483812470 71225718705 142451437410