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140415042123432 = 23321950208918381
BaseRepresentation
bin11111111011010011101100…
…101101001111011010101000
3200102011112202201012221202200
4133323103230231033122220
5121401030001240422212
61214345440240100200
741401436433110256
oct3773235455173250
9612145681187680
10140415042123432
114081675973660a
12138b9461604660
13604710a525c9b
1426961a511b5d6
1511377b676a6dc
hex7fb4ecb4f6a8

140415042123432 has 24 divisors (see below), whose sum is σ = 380290739084490. Its totient is φ = 46805014041120.

The previous prime is 140415042123413. The next prime is 140415042123493. The reversal of 140415042123432 is 234321240514041.

140415042123432 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 1 + 5 + 0 + 4 + 212 + 3 + 432 = 666.

It can be written as a sum of positive squares in only one way, i.e., 109451226067236 + 30963816056196 = 10461894^2 + 5564514^2 .

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 975104459119 + ... + 975104459262.

Almost surely, 2140415042123432 is an apocalyptic number.

140415042123432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140415042123432 is an abundant number, since it is smaller than the sum of its proper divisors (239875696961058).

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

140415042123432 is a wasteful number, since it uses less digits than its factorization.

140415042123432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950208918393 (or 1950208918386 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 140415042123432 its reverse (234321240514041), we get a palindrome (374736282637473).

The spelling of 140415042123432 in words is "one hundred forty trillion, four hundred fifteen billion, forty-two million, one hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1950208918381 3900417836762 5850626755143 7800835673524 11701253510286 15601671347048 17551880265429 23402507020572 35103760530858 46805014041144 70207521061716 140415042123432