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1040312413140 = 223571113313491601
BaseRepresentation
bin11110010001101110111…
…00111010101111010100
310200110020011100012020120
433020313130322233110
5114021024434210030
62113525105231540
7135105624416220
oct17106734725724
93613204305216
101040312413140
11371215266610
121497526325b0
1377140ca3c40
14384cc2d9780
151c0da8b0010
hexf23773abd4

1040312413140 has 768 divisors, whose sum is σ = 4051250380800. Its totient is φ = 192430080000.

The previous prime is 1040312413121. The next prime is 1040312413199. The reversal of 1040312413140 is 413142130401.

It is a self number, because there is not a number n which added to its sum of digits gives 1040312413140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 649788340 + ... + 649789940.

It is an arithmetic number, because the mean of its divisors is an integer number (5275065600).

Almost surely, 21040312413140 is an apocalyptic number.

1040312413140 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 1040312413140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025625190400).

1040312413140 is an abundant number, since it is smaller than the sum of its proper divisors (3010937967660).

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

1040312413140 is a wasteful number, since it uses less digits than its factorization.

1040312413140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 2022 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 1040312413140 its reverse (413142130401), we get a palindrome (1453454543541).

The spelling of 1040312413140 in words is "one trillion, forty billion, three hundred twelve million, four hundred thirteen thousand, one hundred forty".