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133625044144 = 24235326925469
BaseRepresentation
bin111110001110010101…
…1000101110010110000
3110202220120002120100001
41330130223011302300
54142131002403034
6141215252235344
712440232064114
oct1743453056260
9422816076301
10133625044144
1151740943489
1221a9290bb54
13c7a6c12c77
146678ad7744
153721220a14
hex1f1cac5cb0

133625044144 has 80 divisors (see below), whose sum is σ = 276286334400. Its totient is φ = 62466280448.

The previous prime is 133625044129. The next prime is 133625044177. The reversal of 133625044144 is 441440526331.

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, 5233842 + ... + 5259310.

It is an arithmetic number, because the mean of its divisors is an integer number (3453579180).

Almost surely, 2133625044144 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 133625044144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138143167200).

133625044144 is an abundant number, since it is smaller than the sum of its proper divisors (142661290256).

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

133625044144 is a wasteful number, since it uses less digits than its factorization.

133625044144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25822 (or 25816 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 133625044144 in words is "one hundred thirty-three billion, six hundred twenty-five million, forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 23 46 53 92 106 184 212 269 368 424 538 848 1076 1219 2152 2438 4304 4876 6187 9752 12374 14257 19504 24748 25469 28514 49496 50938 57028 98992 101876 114056 203752 228112 327911 407504 585787 655822 1171574 1311644 1349857 2343148 2623288 2699714 4686296 5246576 5399428 6851161 9372592 10798856 13702322 21597712 27404644 31046711 54809288 62093422 109618576 124186844 157576703 248373688 315153406 363111533 496747376 630306812 726223066 1260613624 1452446132 2521227248 2904892264 5809784528 8351565259 16703130518 33406261036 66812522072 133625044144