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1144122422688 = 25337379499139
BaseRepresentation
bin10000101001100011000…
…000101011010110100000
311001101011212012002001000
4100221203000223112200
5122221130320011223
62233334054112000
7145442264063250
oct20514300532640
94041155162030
101144122422688
1140124630a233
121658a434b600
1383b75c43aab
143d539375960
151eb64341543
hex10a6302b5a0

1144122422688 has 192 divisors, whose sum is σ = 3823811712000. Its totient is φ = 326028955392.

The previous prime is 1144122422687. The next prime is 1144122422693. The reversal of 1144122422688 is 8862242214411.

1144122422688 is a `hidden beast` number, since 1 + 1 + 4 + 412 + 2 + 4 + 226 + 8 + 8 = 666.

It is a super-2 number, since 2×11441224226882 (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1144122422687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2042623 + ... + 2541761.

It is an arithmetic number, because the mean of its divisors is an integer number (19915686000).

Almost surely, 21144122422688 is an apocalyptic number.

1144122422688 is a gapful number since it is divisible by the number (18) 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 1144122422688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911905856000).

1144122422688 is an abundant number, since it is smaller than the sum of its proper divisors (2679689289312).

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

1144122422688 is a wasteful number, since it uses less digits than its factorization.

1144122422688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499544 (or 499530 counting only the distinct ones).

The product of its digits is 393216, while the sum is 45.

The spelling of 1144122422688 in words is "one trillion, one hundred forty-four billion, one hundred twenty-two million, four hundred twenty-two thousand, six hundred eighty-eight".