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1316253383640 = 233351329077951
BaseRepresentation
bin10011001001110110110…
…100001011101111011000
311122211110221221220001000
4103021312310023233120
5133031141331234030
62444402314025000
7164044662105456
oct23116664135730
94584427856030
101316253383640
114682467a1958
12193122718160
1397178509200
14479c80379d6
152438acbc860
hex13276d0bbd8

1316253383640 has 384 divisors, whose sum is σ = 4756810060800. Its totient is φ = 323602905600.

The previous prime is 1316253383633. The next prime is 1316253383647. The reversal of 1316253383640 is 463833526131.

It is a happy number.

1316253383640 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 253 + 38 + 364 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1316253383633) and next prime (1316253383647).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1316253383647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 165541665 + ... + 165549615.

It is an arithmetic number, because the mean of its divisors is an integer number (12387526200).

Almost surely, 21316253383640 is an apocalyptic number.

1316253383640 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 1316253383640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378405030400).

1316253383640 is an abundant number, since it is smaller than the sum of its proper divisors (3440556677160).

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

1316253383640 is a wasteful number, since it uses less digits than its factorization.

1316253383640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8904 (or 8881 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 1316253383640 in words is "one trillion, three hundred sixteen billion, two hundred fifty-three million, three hundred eighty-three thousand, six hundred forty".