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1344672940032 = 214329119147
BaseRepresentation
bin10011100100010100110…
…000001100000000000000
311202112211120100221100200
4103210110300030000000
5134012342233040112
62505422331445200
7166102151255142
oct23442460140000
94675746327320
101344672940032
114792aa901244
121987342b6800
1399a57324a76
14491225dcc92
1524ea0cabcdc
hex13914c0c000

1344672940032 has 90 divisors (see below), whose sum is σ = 3884492592708. Its totient is φ = 448224264192.

The previous prime is 1344672940027. The next prime is 1344672940069. The reversal of 1344672940032 is 2300492764431.

1344672940032 is a `hidden beast` number, since 134 + 4 + 67 + 29 + 400 + 32 = 666.

It is a super-2 number, since 2×13446729400322 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1344672940032.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4412118 + ... + 4707029.

Almost surely, 21344672940032 is an apocalyptic number.

1344672940032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1344672940032 is an abundant number, since it is smaller than the sum of its proper divisors (2539819652676).

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

1344672940032 is an frugal number, since it uses more digits than its factorization.

1344672940032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9119181 (or 9119152 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 1344672940032 in words is "one trillion, three hundred forty-four billion, six hundred seventy-two million, nine hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 16384 18432 24576 36864 49152 73728 147456 9119147 18238294 27357441 36476588 54714882 72953176 82072323 109429764 145906352 164144646 218859528 291812704 328289292 437719056 583625408 656578584 875438112 1167250816 1313157168 1750876224 2334501632 2626314336 3501752448 4669003264 5252628672 7003504896 9338006528 10505257344 14007009792 18676013056 21010514688 28014019584 37352026112 42021029376 56028039168 74704052224 84042058752 112056078336 149408104448 168084117504 224112156672 336168235008 448224313344 672336470016 1344672940032