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141741536383440 = 243357171075153623
BaseRepresentation
bin100000001110100111000101…
…111011010001000111010000
3200120212100200101012021012000
4200032213011323101013100
5122034243131303232230
61221243055103434000
741566326256223340
oct4016470573210720
9616770611167160
10141741536383440
1141188280104454
1213a925618b5900
1361122285b9346
14270048129ad20
15115c051626b60
hex80e9c5ed11d0

141741536383440 has 640 divisors, whose sum is σ = 596309753733120. Its totient is φ = 30207316303872.

The previous prime is 141741536383439. The next prime is 141741536383471. The reversal of 141741536383440 is 44383635147141.

141741536383440 is a `hidden beast` number, since 1 + 4 + 1 + 7 + 4 + 1 + 536 + 38 + 34 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24926469 + ... + 30080091.

It is an arithmetic number, because the mean of its divisors is an integer number (931733990208).

Almost surely, 2141741536383440 is an apocalyptic number.

141741536383440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141741536383440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298154876866560).

141741536383440 is an abundant number, since it is smaller than the sum of its proper divisors (454568217349680).

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

141741536383440 is a wasteful number, since it uses less digits than its factorization.

141741536383440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5153776 (or 5153764 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 141741536383440 in words is "one hundred forty-one trillion, seven hundred forty-one billion, five hundred thirty-six million, three hundred eighty-three thousand, four hundred forty".