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1342462516416 = 26327332952013
BaseRepresentation
bin10011100010010001000…
…000000101110011000000
311202100010112001210012100
4103202101000011303000
5133443330401011131
62504415130430400
7165663321053340
oct23422100056300
94670115053170
101342462516416
1147837610226a
12198217b92400
13997943b3ab8
1448d92c0ad20
1524dc1bd17e6
hex13891005cc0

1342462516416 has 84 divisors (see below), whose sum is σ = 4397630200912. Its totient is φ = 383560717824.

The previous prime is 1342462516397. The next prime is 1342462516471. The reversal of 1342462516416 is 6146152642431.

1342462516416 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 4 + 625 + 1 + 6 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 166471975 + ... + 166480038.

Almost surely, 21342462516416 is an apocalyptic number.

1342462516416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1342462516416 is an abundant number, since it is smaller than the sum of its proper divisors (3055167684496).

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

1342462516416 is a wasteful number, since it uses less digits than its factorization.

1342462516416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332952038 (or 332952025 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 1342462516416 in words is "one trillion, three hundred forty-two billion, four hundred sixty-two million, five hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 332952013 665904026 998856039 1331808052 1997712078 2330664091 2663616104 2996568117 3995424156 4661328182 5327232208 5993136234 6991992273 7990848312 9322656364 10654464416 11986272468 13983984546 15981696624 18645312728 20975976819 21308928832 23972544936 27967969092 31963393248 37290625456 41951953638 47945089872 55935938184 63926786496 74581250912 83903907276 95890179744 111871876368 149162501824 167807814552 191780359488 223743752736 335615629104 447487505472 671231258208 1342462516416