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830004140268 = 223362691225909
BaseRepresentation
bin11000001010000000001…
…10100001100011101100
32221100101102012222202000
430011000012201203230
5102044322024442033
61433144301132300
7113652163533432
oct14050006414354
92840342188660
10830004140268
112a0003776436
12114a3a85a090
1360366161124
142c25b16ad52
15168cc487a13
hexc1401a18ec

830004140268 has 48 divisors (see below), whose sum is σ = 2152207596000. Its totient is φ = 276623688384.

The previous prime is 830004140263. The next prime is 830004140293. The reversal of 830004140268 is 862041400038.

It is a super-2 number, since 2×8300041402682 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (830004140263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64098 + ... + 1290006.

It is an arithmetic number, because the mean of its divisors is an integer number (44837658250).

Almost surely, 2830004140268 is an apocalyptic number.

It is an amenable number.

830004140268 is an abundant number, since it is smaller than the sum of its proper divisors (1322203455732).

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

830004140268 is a wasteful number, since it uses less digits than its factorization.

830004140268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1232191 (or 1232183 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 830004140268 in words is "eight hundred thirty billion, four million, one hundred forty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 6269 12538 18807 25076 37614 56421 75228 112842 169263 225684 338526 677052 1225909 2451818 3677727 4903636 7355454 11033181 14710908 22066362 33099543 44132724 66199086 132398172 7685223521 15370447042 23055670563 30740894084 46111341126 69167011689 92222682252 138334023378 207501035067 276668046756 415002070134 830004140268