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144042341342400 = 263652123493091
BaseRepresentation
bin100000110000000101111000…
…100101101001110011000000
3200220000022110102122022000000
4200300011320211221303000
5122334442203340424100
61230204045455000000
742224500332543144
oct4060057045516300
9626008412568000
10144042341342400
114199501756a076
12141a4454809000
13624b19967a397
14277d987b49224
15119bd127b9900
hex830178969cc0

144042341342400 has 294 divisors, whose sum is σ = 531408187401972. Its totient is φ = 38411290713600.

The previous prime is 144042341342329. The next prime is 144042341342411. The reversal of 144042341342400 is 4243143240441.

144042341342400 is a `hidden beast` number, since 1 + 4 + 4 + 0 + 4 + 234 + 13 + 4 + 2 + 400 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 60580146 + ... + 62912945.

Almost surely, 2144042341342400 is an apocalyptic number.

144042341342400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144042341342400 is an abundant number, since it is smaller than the sum of its proper divisors (387365846059572).

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

144042341342400 is an equidigital number, since it uses as much as digits as its factorization.

144042341342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123493131 (or 123493101 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 144042341342400 its reverse (4243143240441), we get a palindrome (148285484582841).

The spelling of 144042341342400 in words is "one hundred forty-four trillion, forty-two billion, three hundred forty-one million, three hundred forty-two thousand, four hundred".