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145122352000516 = 22112710942177461
BaseRepresentation
bin100000111111110011101110…
…001111010110111000000100
3201000211120011020020021200001
4200333303232033112320010
5123010141034103004031
61232352142123331044
742365513111634052
oct4077635617267004
9630746136207601
10145122352000516
1142271053410700
1214339826080a84
1362c8c9603ccb7
1427b9d605031d2
1511b9e73407861
hex83fcee3d6e04

145122352000516 has 36 divisors (see below), whose sum is σ = 279189913737420. Its totient is φ = 65955424849600.

The previous prime is 145122352000459. The next prime is 145122352000523. The reversal of 145122352000516 is 615000253221541.

It can be written as a sum of positive squares in 2 ways, for example, as 54778353537600 + 90343998462916 = 7401240^2 + 9504946^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17647975 + ... + 24529486.

It is an arithmetic number, because the mean of its divisors is an integer number (7755275381595).

Almost surely, 2145122352000516 is an apocalyptic number.

It is an amenable number.

145122352000516 is a deficient number, since it is larger than the sum of its proper divisors (134067561736904).

145122352000516 is a wasteful number, since it uses less digits than its factorization.

145122352000516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42184596 (or 42184583 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 145122352000516 in words is "one hundred forty-five trillion, one hundred twenty-two billion, three hundred fifty-two million, five hundred sixteen", and thus it is an aban number.

Divisors: 1 2 4 11 22 44 121 242 484 7109 14218 28436 78199 156398 312796 860189 1720378 3440756 42177461 84354922 168709844 463952071 927904142 1855808284 5103472781 10206945562 20413891124 299839570249 599679140498 1199358280996 3298235272739 6596470545478 13192941090956 36280588000129 72561176000258 145122352000516