Search a number
-
+
145570481280 = 27325723791987
BaseRepresentation
bin1000011110010010101…
…1010100010010000000
3111220202001112122111200
42013210223110102000
54341112020400110
6150512452341200
713342241450340
oct2074453242200
9456661478450
10145570481280
1156810818184
1224267314800
131095b982573
14708d390d20
153bbecb46c0
hex21e4ad4480

145570481280 has 768 divisors, whose sum is σ = 607354675200. Its totient is φ = 31407906816.

The previous prime is 145570481239. The next prime is 145570481291. The reversal of 145570481280 is 82184075541.

145570481280 is a `hidden beast` number, since 1 + 4 + 557 + 0 + 4 + 8 + 12 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73260447 + ... + 73262433.

It is an arithmetic number, because the mean of its divisors is an integer number (790826400).

Almost surely, 2145570481280 is an apocalyptic number.

145570481280 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 145570481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303677337600).

145570481280 is an abundant number, since it is smaller than the sum of its proper divisors (461784193920).

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

145570481280 is a wasteful number, since it uses less digits than its factorization.

145570481280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 358400, while the sum is 45.

The spelling of 145570481280 in words is "one hundred forty-five billion, five hundred seventy million, four hundred eighty-one thousand, two hundred eighty".