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141664995360 = 2536572931193
BaseRepresentation
bin1000001111101111100…
…1000100100000100000
3111112122212200102000000
42003323321010200200
54310112214322420
6145025140300000
713143406410120
oct2037371044040
9445585612000
10141664995360
1155097218869
12235573a1600
1310488803655
146bdc800c80
153a41ead690
hex20fbe44820

141664995360 has 1344 divisors, whose sum is σ = 615566407680. Its totient is φ = 30098718720.

The previous prime is 141664995341. The next prime is 141664995377. The reversal of 141664995360 is 63599466141.

It is a happy number.

141664995360 is a `hidden beast` number, since 1 + 4 + 1 + 66 + 49 + 9 + 536 + 0 = 666.

It is a super-3 number, since 3×1416649953603 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 141664995297 and 141664995306.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 734015424 + ... + 734015616.

It is an arithmetic number, because the mean of its divisors is an integer number (458010720).

Almost surely, 2141664995360 is an apocalyptic number.

141664995360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141664995360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307783203840).

141664995360 is an abundant number, since it is smaller than the sum of its proper divisors (473901412320).

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

141664995360 is a wasteful number, since it uses less digits than its factorization.

141664995360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 141664995360 in words is "one hundred forty-one billion, six hundred sixty-four million, nine hundred ninety-five thousand, three hundred sixty".