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1438142953632 = 253711194553971
BaseRepresentation
bin10100111011010111111…
…111111111100010100000
312002111002122200121021020
4110323113333333202200
5142030304044004012
63020401310325440
7205621344260340
oct24732777774240
95074078617236
101438142953632
11504a05228970
121b287b1b9880
13a5802014918
144d86c2d0d20
1527621ac0a8c
hex14ed7fff8a0

1438142953632 has 96 divisors (see below), whose sum is σ = 4706649690624. Its totient is φ = 373543622400.

The previous prime is 1438142953631. The next prime is 1438142953669. The reversal of 1438142953632 is 2363592418341.

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

It is a super-3 number, since 3×14381429536323 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1438142953631) 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, 97269594 + ... + 97284377.

It is an arithmetic number, because the mean of its divisors is an integer number (49027600944).

Almost surely, 21438142953632 is an apocalyptic number.

1438142953632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1438142953632 is an abundant number, since it is smaller than the sum of its proper divisors (3268506736992).

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

1438142953632 is a wasteful number, since it uses less digits than its factorization.

1438142953632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194554002 (or 194553994 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 51.

The spelling of 1438142953632 in words is "one trillion, four hundred thirty-eight billion, one hundred forty-two million, nine hundred fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 194553971 389107942 583661913 778215884 1167323826 1361877797 1556431768 2140093681 2334647652 2723755594 3112863536 4085633391 4280187362 4669295304 5447511188 6225727072 6420281043 8171266782 8560374724 9338590608 10895022376 12840562086 14980655767 16342533564 17120749448 18677181216 21790044752 25681124172 29961311534 32685067128 34241498896 43580089504 44941967301 51362248344 59922623068 65370134256 68482997792 89883934602 102724496688 119845246136 130740268512 179767869204 205448993376 239690492272 359535738408 479380984544 719071476816 1438142953632