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1434978302688 = 25337237264931
BaseRepresentation
bin10100111000011011010…
…111110011101011100000
312002011221002211200022000
4110320123113303223200
5142002313421141223
63015115301044000
7205450046214630
oct24703327635340
95064832750260
101434978302688
11503630929867
121b21373b6600
13a54194a19b8
144d64bca86c0
15274d8d56543
hex14e1b5f3ae0

1434978302688 has 96 divisors (see below), whose sum is σ = 4783261029120. Its totient is φ = 409993799040.

The previous prime is 1434978302671. The next prime is 1434978302689. The reversal of 1434978302688 is 8862038794341.

1434978302688 is a `hidden beast` number, since 1 + 4 + 3 + 497 + 83 + 0 + 2 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1434978302689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118626418 + ... + 118638513.

It is an arithmetic number, because the mean of its divisors is an integer number (49825635720).

Almost surely, 21434978302688 is an apocalyptic number.

1434978302688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1434978302688 is an abundant number, since it is smaller than the sum of its proper divisors (3348282726432).

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

1434978302688 is a wasteful number, since it uses less digits than its factorization.

1434978302688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237264957 (or 237264943 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 1434978302688 in words is "one trillion, four hundred thirty-four billion, nine hundred seventy-eight million, three hundred two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 237264931 474529862 711794793 949059724 1423589586 1660854517 1898119448 2135384379 2847179172 3321709034 3796238896 4270768758 4982563551 5694358344 6406153137 6643418068 7592477792 8541537516 9965127102 11388716688 12812306274 13286836136 14947690653 17083075032 19930254204 22777433376 25624612548 26573672272 29895381306 34166150064 39860508408 44843071959 51249225096 53147344544 59790762612 68332300128 79721016816 89686143918 102498450192 119581525224 159442033632 179372287836 204996900384 239163050448 358744575672 478326100896 717489151344 1434978302688