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1040364145464 = 2337219137339863
BaseRepresentation
bin11110010001110101000…
…10010000101100111000
310200110100202200110122120
433020322202100230320
5114021131210123324
62113534154121240
7135110123220300
oct17107242205470
93613322613576
101040364145464
1137124148a8a6
12149767a20220
137714b917997
14384d5124600
151c0e01cd179
hexf23a890b38

1040364145464 has 192 divisors, whose sum is σ = 3208044268800. Its totient is φ = 279546011136.

The previous prime is 1040364145427. The next prime is 1040364145481. The reversal of 1040364145464 is 4645414630401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2891197 + ... + 3231059.

It is an arithmetic number, because the mean of its divisors is an integer number (16708563900).

Almost surely, 21040364145464 is an apocalyptic number.

1040364145464 is a gapful number since it is divisible by the number (14) 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 1040364145464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1604022134400).

1040364145464 is an abundant number, since it is smaller than the sum of its proper divisors (2167680123336).

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

1040364145464 is a wasteful number, since it uses less digits than its factorization.

1040364145464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340042 (or 340031 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

Adding to 1040364145464 its reverse (4645414630401), we get a palindrome (5685778775865).

The spelling of 1040364145464 in words is "one trillion, forty billion, three hundred sixty-four million, one hundred forty-five thousand, four hundred sixty-four".