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142717765540 = 22573292233217
BaseRepresentation
bin1000010011101010100…
…1000100011110100100
3111122101020122200012011
42010322221010132210
54314241221444130
6145321425004004
713211451664000
oct2047251043644
9448336580164
10142717765540
1155587504669
12237aba83604
13105c5958a9c
146c9c567700
153aa461552a
hex213aa447a4

142717765540 has 192 divisors, whose sum is σ = 363299328000. Its totient is φ = 47018022912.

The previous prime is 142717765523. The next prime is 142717765549. The reversal of 142717765540 is 45567717241.

It is a super-2 number, since 2×1427177655402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (142717765549) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44362012 + ... + 44365228.

It is an arithmetic number, because the mean of its divisors is an integer number (1892184000).

Almost surely, 2142717765540 is an apocalyptic number.

142717765540 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 142717765540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181649664000).

142717765540 is an abundant number, since it is smaller than the sum of its proper divisors (220581562460).

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

142717765540 is a wasteful number, since it uses less digits than its factorization.

142717765540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3499 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 49.

The spelling of 142717765540 in words is "one hundred forty-two billion, seven hundred seventeen million, seven hundred sixty-five thousand, five hundred forty".