Search a number
-
+
1142574343680 = 29357111932113
BaseRepresentation
bin10000101000000110101…
…111001110011000000000
311001020011222012111212110
4100220012233032120000
5122204443012444210
62232520313255320
7145356025451340
oct20500657163000
94036158174773
101142574343680
114006214805a0
12165531a04540
138398a2b9903
143d42d918d20
151eac349b420
hex10a06bce600

1142574343680 has 320 divisors, whose sum is σ = 4553977241088. Its totient is φ = 237417922560.

The previous prime is 1142574343663. The next prime is 1142574343709. The reversal of 1142574343680 is 863434752411.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×11425743436802 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374697 + ... + 1557416.

Almost surely, 21142574343680 is an apocalyptic number.

1142574343680 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 1142574343680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276988620544).

1142574343680 is an abundant number, since it is smaller than the sum of its proper divisors (3411402897408).

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

1142574343680 is a wasteful number, since it uses less digits than its factorization.

1142574343680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932157 (or 1932141 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 1142574343680 in words is "one trillion, one hundred forty-two billion, five hundred seventy-four million, three hundred forty-three thousand, six hundred eighty".