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142753361344 = 26115319719421
BaseRepresentation
bin1000010011110011000…
…0110110110111000000
3111122110201122010110021
42010330300312313000
54314324330030334
6145325135543224
713212363356566
oct2047460666700
9448421563407
10142753361344
11555a5607290
12237bb98ab14
131060013caa9
146ca3191a36
153aa77e73b4
hex213cc36dc0

142753361344 has 112 divisors (see below), whose sum is σ = 316473876576. Its totient is φ = 63337164800.

The previous prime is 142753361339. The next prime is 142753361347. The reversal of 142753361344 is 443163357241.

It is a self number, because there is not a number n which added to its sum of digits gives 142753361344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142753361347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7340754 + ... + 7360174.

Almost surely, 2142753361344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142753361344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158236938288).

142753361344 is an abundant number, since it is smaller than the sum of its proper divisors (173720515232).

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

142753361344 is a wasteful number, since it uses less digits than its factorization.

142753361344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19694 (or 19684 counting only the distinct ones).

The product of its digits is 725760, while the sum is 43.

The spelling of 142753361344 in words is "one hundred forty-two billion, seven hundred fifty-three million, three hundred sixty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 53 64 88 106 176 197 212 352 394 424 583 704 788 848 1166 1576 1696 2167 2332 3152 3392 4334 4664 6304 8668 9328 10441 12608 17336 18656 19421 20882 34672 37312 38842 41764 69344 77684 83528 114851 138688 155368 167056 213631 229702 310736 334112 427262 459404 621472 668224 854524 918808 1029313 1242944 1709048 1837616 2058626 3418096 3675232 3825937 4117252 6836192 7350464 7651874 8234504 11322443 13672384 15303748 16469008 22644886 30607496 32938016 42085307 45289772 61214992 65876032 84170614 90579544 122429984 168341228 181159088 202774661 244859968 336682456 362318176 405549322 673364912 724636352 811098644 1346729824 1622197288 2230521271 2693459648 3244394576 4461042542 6488789152 8922085084 12977578304 17844170168 35688340336 71376680672 142753361344