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6140978415 = 3351113318103
BaseRepresentation
bin1011011100000011…
…11110010011101111
3120211222100000201000
411232001332103233
5100034042302130
62453210251343
7305115312105
oct55601762357
916758300630
106140978415
112671470a80
121234726b53
1376b359550
14423829c75
1525e1d4260
hex16e07e4ef

6140978415 has 64 divisors (see below), whose sum is σ = 12825953280. Its totient is φ = 2748401280.

The previous prime is 6140978407. The next prime is 6140978419. The reversal of 6140978415 is 5148790416.

6140978415 is a `hidden beast` number, since 6 + 140 + 97 + 8 + 415 = 666.

It is not a de Polignac number, because 6140978415 - 23 = 6140978407 is a prime.

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 (6140978419) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 139747 + ... + 178356.

It is an arithmetic number, because the mean of its divisors is an integer number (200405520).

Almost surely, 26140978415 is an apocalyptic number.

6140978415 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

6140978415 is an abundant number, since it is smaller than the sum of its proper divisors (6684974865).

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

6140978415 is a wasteful number, since it uses less digits than its factorization.

6140978415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318141 (or 318135 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 6140978415 is about 78364.3950719968. The cubic root of 6140978415 is about 1831.2424913358.

The spelling of 6140978415 in words is "six billion, one hundred forty million, nine hundred seventy-eight thousand, four hundred fifteen".

Divisors: 1 3 5 9 11 13 15 27 33 39 45 55 65 99 117 135 143 165 195 297 351 429 495 585 715 1287 1485 1755 2145 3861 6435 19305 318103 954309 1590515 2862927 3499133 4135339 4771545 8588781 10497399 12406017 14314635 17495665 20676695 31492197 37218051 42943905 45488729 52486995 62030085 94476591 111654153 136466187 157460985 186090255 227443645 409398561 472382955 558270765 682330935 1228195683 2046992805 6140978415