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40750118496 = 253348796847
BaseRepresentation
bin100101111100111001…
…010111011001100000
310220011221112111122000
4211330321113121200
51131424012242441
630415332244000
72641553202123
oct457471273140
9126157474560
1040750118496
111631141a18a
127a93170600
133ac55bbc69
141d880703ba
1510d77a92b6
hex97ce57660

40750118496 has 96 divisors (see below), whose sum is σ = 119099796480. Its totient is φ = 13555340928.

The previous prime is 40750118477. The next prime is 40750118531. The reversal of 40750118496 is 69481105704.

40750118496 is a `hidden beast` number, since 40 + 7 + 5 + 0 + 118 + 496 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372345 + ... + 469191.

It is an arithmetic number, because the mean of its divisors is an integer number (1240622880).

Almost surely, 240750118496 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 40750118496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59549898240).

40750118496 is an abundant number, since it is smaller than the sum of its proper divisors (78349677984).

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

40750118496 is a wasteful number, since it uses less digits than its factorization.

40750118496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97353 (or 97339 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 40750118496 in words is "forty billion, seven hundred fifty million, one hundred eighteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 487 864 974 1461 1948 2922 3896 4383 5844 7792 8766 11688 13149 15584 17532 23376 26298 35064 46752 52596 70128 96847 105192 140256 193694 210384 290541 387388 420768 581082 774776 871623 1162164 1549552 1743246 2324328 2614869 3099104 3486492 4648656 5229738 6972984 9297312 10459476 13945968 20918952 27891936 41837904 47164489 83675808 94328978 141493467 188657956 282986934 377315912 424480401 565973868 754631824 848960802 1131947736 1273441203 1509263648 1697921604 2263895472 2546882406 3395843208 4527790944 5093764812 6791686416 10187529624 13583372832 20375059248 40750118496