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1122984469440 = 2632519139191773
BaseRepresentation
bin10000010101110111000…
…101110010001111000000
310222100121201101210101200
4100111313011302033000
5121344333011010230
62215520354301200
7144063413331351
oct20256705621700
93870551353350
101122984469440
113a3289503089
12161785287800
1381b8788a452
143c4d1cb1d28
151e328744160
hex105771723c0

1122984469440 has 672 divisors, whose sum is σ = 4121910374400. Its totient is φ = 279823196160.

The previous prime is 1122984469429. The next prime is 1122984469471. The reversal of 1122984469440 is 449644892211.

1122984469440 is a `hidden beast` number, since 1 + 1 + 22 + 98 + 446 + 94 + 4 + 0 = 666.

It is a super-2 number, since 2×11229844694402 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 1452760894 + ... + 1452761666.

It is an arithmetic number, because the mean of its divisors is an integer number (6133795200).

Almost surely, 21122984469440 is an apocalyptic number.

1122984469440 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 1122984469440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060955187200).

1122984469440 is an abundant number, since it is smaller than the sum of its proper divisors (2998925904960).

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

1122984469440 is a wasteful number, since it uses less digits than its factorization.

1122984469440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1145 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 1122984469440 in words is "one trillion, one hundred twenty-two billion, nine hundred eighty-four million, four hundred sixty-nine thousand, four hundred forty".