Search a number
-
+
1137222992640 = 28357353119851
BaseRepresentation
bin10000100011000111110…
…001011100001100000000
311000201101000200201021210
4100203013301130030000
5122113013041231030
62230233311250120
7145106305641660
oct20430761341400
94021330621253
101137222992640
113a9325806329
12164499819940
1383316720bc7
143d082d181a0
151e8ad790bb0
hex108c7c5c300

1137222992640 has 288 divisors, whose sum is σ = 4162657476096. Its totient is φ = 259198156800.

The previous prime is 1137222992639. The next prime is 1137222992729. The reversal of 1137222992640 is 462992227311.

It is a super-2 number, since 2×11372229926402 (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 self number, because there is not a number n which added to its sum of digits gives 1137222992640.

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, 9428715 + ... + 9548565.

It is an arithmetic number, because the mean of its divisors is an integer number (14453671792).

Almost surely, 21137222992640 is an apocalyptic number.

1137222992640 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 1137222992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2081328738048).

1137222992640 is an abundant number, since it is smaller than the sum of its proper divisors (3025434483456).

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

1137222992640 is a wasteful number, since it uses less digits than its factorization.

1137222992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120235 (or 120221 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 1137222992640 in words is "one trillion, one hundred thirty-seven billion, two hundred twenty-two million, nine hundred ninety-two thousand, six hundred forty".