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153310891140 = 223251177429743
BaseRepresentation
bin1000111011001000001…
…0101000110010000100
3112122201111111012200100
42032302002220302010
510002440042004030
6154232520244100
714035121034051
oct2166202506204
9478644435610
10153310891140
115a023001720
1225867610630
13115c34a5b44
1475c53a4028
153ec45d4360
hex23b20a8c84

153310891140 has 72 divisors (see below), whose sum is σ = 507319682688. Its totient is φ = 37166276160.

The previous prime is 153310891109. The next prime is 153310891141. The reversal of 153310891140 is 41198013351.

It is a happy number.

153310891140 is a `hidden beast` number, since 1 + 533 + 1 + 0 + 8 + 9 + 114 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 153310891095 and 153310891104.

It is not an unprimeable number, because it can be changed into a prime (153310891141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38712892 + ... + 38716851.

It is an arithmetic number, because the mean of its divisors is an integer number (7046106704).

Almost surely, 2153310891140 is an apocalyptic number.

153310891140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153310891140 is an abundant number, since it is smaller than the sum of its proper divisors (354008791548).

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

153310891140 is a wasteful number, since it uses less digits than its factorization.

153310891140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77429769 (or 77429764 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 153310891140 in words is "one hundred fifty-three billion, three hundred ten million, eight hundred ninety-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 77429743 154859486 232289229 309718972 387148715 464578458 696867687 774297430 851727173 929156916 1161446145 1393735374 1548594860 1703454346 2322892290 2555181519 2787470748 3406908692 3484338435 4258635865 4645784580 5110363038 6968676870 7665544557 8517271730 10220726076 12775907595 13937353740 15331089114 17034543460 25551815190 30662178228 38327722785 51103630380 76655445570 153310891140