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160142469120 = 211345193073
BaseRepresentation
bin1001010100100100111…
…1000010100000000000
3120022100121022022220000
42111021033002200000
510110432433002440
6201322440520000
714366323346034
oct2251117024000
9508317268800
10160142469120
1161a09281337
1227053480000
131214192ca8a
147a727dc1c4
154274230730
hex25493c2800

160142469120 has 240 divisors, whose sum is σ = 574003209780. Its totient is φ = 42704437248.

The previous prime is 160142469013. The next prime is 160142469181. The reversal of 160142469120 is 21964241061.

160142469120 is a `hidden beast` number, since 1 + 60 + 14 + 2 + 469 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 144302736384 + 15839732736 = 379872^2 + 125856^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1601424691202 (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 732904 + ... + 925976.

Almost surely, 2160142469120 is an apocalyptic number.

160142469120 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 160142469120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287001604890).

160142469120 is an abundant number, since it is smaller than the sum of its proper divisors (413860740660).

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

160142469120 is an equidigital number, since it uses as much as digits as its factorization.

160142469120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193112 (or 193083 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 160142469120 in words is "one hundred sixty billion, one hundred forty-two million, four hundred sixty-nine thousand, one hundred twenty".