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142355205404544 = 27311217239754067
BaseRepresentation
bin100000010111100010100111…
…011100110011011110000000
3200200001000200000201112120010
4200113202213130303132000
5122124321430040421134
61222433024544344520
741661552460644006
oct4027424734633600
9620030600645503
10142355205404544
11413a455a292900
1213b71486315140
1361580660cc202
142722058a9ca76
15116cebb4e9ce9
hex8178a7733780

142355205404544 has 384 divisors, whose sum is σ = 441922456281600. Its totient is φ = 40430485258240.

The previous prime is 142355205404539. The next prime is 142355205404567. The reversal of 142355205404544 is 445404502553241.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 142355205404493 and 142355205404502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 188406199 + ... + 189160265.

It is an arithmetic number, because the mean of its divisors is an integer number (1150839729900).

Almost surely, 2142355205404544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142355205404544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220961228140800).

142355205404544 is an abundant number, since it is smaller than the sum of its proper divisors (299567250877056).

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

142355205404544 is a wasteful number, since it uses less digits than its factorization.

142355205404544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 754362 (or 754339 counting only the distinct ones).

The product of its (nonzero) digits is 7680000, while the sum is 48.

Adding to 142355205404544 its reverse (445404502553241), we get a palindrome (587759707957785).

The spelling of 142355205404544 in words is "one hundred forty-two trillion, three hundred fifty-five billion, two hundred five million, four hundred four thousand, five hundred forty-four".