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1067434315344 = 2435274545863
BaseRepresentation
bin11111000100010000000…
…10110000111001010000
310210001020022222120200000
433202020002300321100
5114442101141042334
62134212245530000
7140056005655335
oct17421002607120
93701208876600
101067434315344
11381772930121
12152a61713900
1379873cc6497
14399423d098c
151cb769c4299
hexf8880b0e50

1067434315344 has 60 divisors (see below), whose sum is σ = 3097975529376. Its totient is φ = 355811437152.

The previous prime is 1067434315333. The next prime is 1067434315349. The reversal of 1067434315344 is 4435134347601.

It is a happy number.

1067434315344 is a `hidden beast` number, since 1 + 0 + 6 + 74 + 3 + 43 + 1 + 534 + 4 = 666.

It is a super-4 number, since 4×10674343153444 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1067434315344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1067434315349) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 137269044 + ... + 137276819.

Almost surely, 21067434315344 is an apocalyptic number.

It is an amenable number.

1067434315344 is an abundant number, since it is smaller than the sum of its proper divisors (2030541214032).

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

1067434315344 is an equidigital number, since it uses as much as digits as its factorization.

1067434315344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274545886 (or 274545868 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 1067434315344 in words is "one trillion, sixty-seven billion, four hundred thirty-four million, three hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 274545863 549091726 823637589 1098183452 1647275178 2196366904 2470912767 3294550356 4392733808 4941825534 6589100712 7412738301 9883651068 13178201424 14825476602 19767302136 22238214903 29650953204 39534604272 44476429806 59301906408 66714644709 88952859612 118603812816 133429289418 177905719224 266858578836 355811438448 533717157672 1067434315344