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140188128 = 25323173367
BaseRepresentation
bin10000101101100…
…01100111100000
3100202210021221220
420112301213200
5241342010003
621524415040
73321402513
oct1026614740
9322707856
10140188128
1172150463
123ab47480
1323074b72
1414892d7a
15c492353
hex85b19e0

140188128 has 96 divisors (see below), whose sum is σ = 387265536. Its totient is φ = 44318208.

The previous prime is 140188123. The next prime is 140188129. The reversal of 140188128 is 821881041.

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

It is a super-2 number, since 2×1401881282 = 39305422464288768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140188121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381801 + ... + 382167.

It is an arithmetic number, because the mean of its divisors is an integer number (4034016).

Almost surely, 2140188128 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 140188128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193632768).

140188128 is an abundant number, since it is smaller than the sum of its proper divisors (247077408).

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

140188128 is a wasteful number, since it uses less digits than its factorization.

140188128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 33.

The square root of 140188128 is about 11840.1067562755. The cubic root of 140188128 is about 519.4818902567.

The spelling of 140188128 in words is "one hundred forty million, one hundred eighty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 173 184 276 346 367 368 519 552 692 734 736 1038 1101 1104 1384 1468 2076 2202 2208 2768 2936 3979 4152 4404 5536 5872 7958 8304 8441 8808 11744 11937 15916 16608 16882 17616 23874 25323 31832 33764 35232 47748 50646 63491 63664 67528 95496 101292 126982 127328 135056 190473 190992 202584 253964 270112 380946 381984 405168 507928 761892 810336 1015856 1460293 1523784 2031712 2920586 3047568 4380879 5841172 6095136 8761758 11682344 17523516 23364688 35047032 46729376 70094064 140188128