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40052453056 = 2671129327739
BaseRepresentation
bin100101010011010011…
…111110111011000000
310211101022202102120021
4211103103332323000
51124011411444211
630222211023224
72615352143110
oct452323767300
9124338672507
1040052453056
1115a93624880
12791959ab14
133a13bb9385
141d1d543040
1510963e8771
hex9534feec0

40052453056 has 112 divisors (see below), whose sum is σ = 99432587520. Its totient is φ = 15551032320.

The previous prime is 40052453053. The next prime is 40052453081. The reversal of 40052453056 is 65035425004.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (40052453053) by changing a digit.

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, 1430035 + ... + 1457773.

It is an arithmetic number, because the mean of its divisors is an integer number (887790960).

Almost surely, 240052453056 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 40052453056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49716293760).

40052453056 is an abundant number, since it is smaller than the sum of its proper divisors (59380134464).

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

40052453056 is a wasteful number, since it uses less digits than its factorization.

40052453056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28062 (or 28052 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

The spelling of 40052453056 in words is "forty billion, fifty-two million, four hundred fifty-three thousand, fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 293 308 352 448 586 616 704 1172 1232 2051 2344 2464 3223 4102 4688 4928 6446 8204 9376 12892 16408 18752 22561 25784 27739 32816 45122 51568 55478 65632 90244 103136 110956 131264 180488 194173 206272 221912 305129 360976 388346 443824 610258 721952 776692 887648 1220516 1443904 1553384 1775296 2135903 2441032 3106768 4271806 4882064 6213536 8127527 8543612 9764128 12427072 16255054 17087224 19528256 32510108 34174448 56892689 65020216 68348896 89402797 113785378 130040432 136697792 178805594 227570756 260080864 357611188 455141512 520161728 625819579 715222376 910283024 1251639158 1430444752 1820566048 2503278316 2860889504 3641132096 5006556632 5721779008 10013113264 20026226528 40052453056