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145540416456340 = 225171014238218301
BaseRepresentation
bin100001000101111001000100…
…110100101100011010010100
3201002022112020212021002110021
4201011321010310230122110
5123034013233103100330
61233312202211434524
742440643124113043
oct4105710464543224
9632275225232407
10145540416456340
114241238694a034
12143a685abb5a44
136329530058a49
1427d229d8b055a
1511c5c90b8c67a
hex845e44d2c694

145540416456340 has 48 divisors (see below), whose sum is σ = 326817489703824. Its totient is φ = 54249194240000.

The previous prime is 145540416456277. The next prime is 145540416456373. The reversal of 145540416456340 is 43654614045541.

It can be written as a sum of positive squares in 8 ways, for example, as 5914147337604 + 139626269118736 = 2431902^2 + 11816356^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2119074811 + ... + 2119143490.

It is an arithmetic number, because the mean of its divisors is an integer number (6808697702163).

Almost surely, 2145540416456340 is an apocalyptic number.

145540416456340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145540416456340 is an abundant number, since it is smaller than the sum of its proper divisors (181277073247484).

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

145540416456340 is a wasteful number, since it uses less digits than its factorization.

145540416456340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4238218428 (or 4238218426 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 52.

The spelling of 145540416456340 in words is "one hundred forty-five trillion, five hundred forty billion, four hundred sixteen million, four hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 17 20 34 68 85 101 170 202 340 404 505 1010 1717 2020 3434 6868 8585 17170 34340 4238218301 8476436602 16952873204 21191091505 42382183010 72049711117 84764366020 144099422234 288198844468 360248555585 428060048401 720497111170 856120096802 1440994222340 1712240193604 2140300242005 4280600484010 7277020822817 8561200968020 14554041645634 29108083291268 36385104114085 72770208228170 145540416456340