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5415142000325 = 521793731214357
BaseRepresentation
bin100111011001100111110…
…0111011000011011000101
3201011200102120000210220212
41032303033213120123011
51202210202323002300
615303403142205205
71066142160353531
oct116631747303305
921150376023825
105415142000325
1117a8604539912
127355a8123805
133038517a92c5
1414a146974bc1
1595cd862d935
hex4eccf9d86c5

5415142000325 has 48 divisors (see below), whose sum is σ = 7121265241104. Its totient is φ = 4070692454400.

The previous prime is 5415142000283. The next prime is 5415142000343. The reversal of 5415142000325 is 5230002415145.

It can be written as a sum of positive squares in 24 ways, for example, as 4116358112161 + 1298783888164 = 2028881^2 + 1139642^2 .

It is not a de Polignac number, because 5415142000325 - 216 = 5415141934789 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5415142000291 and 5415142000300.

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, 1242858047 + ... + 1242862403.

It is an arithmetic number, because the mean of its divisors is an integer number (148359692523).

Almost surely, 25415142000325 is an apocalyptic number.

It is an amenable number.

5415142000325 is a deficient number, since it is larger than the sum of its proper divisors (1706123240779).

5415142000325 is a wasteful number, since it uses less digits than its factorization.

5415142000325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8442 (or 8437 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 5415142000325 in words is "five trillion, four hundred fifteen billion, one hundred forty-two million, three hundred twenty-five", and thus it is an aban number.

Divisors: 1 5 17 25 85 425 937 3121 4357 4685 15605 15929 21785 23425 53057 74069 78025 79645 108925 265285 370345 398225 1326425 1851725 2924377 4082509 13598197 14621885 20412545 49714409 67990985 69402653 73109425 102062725 231169349 248572045 339954925 347013265 1155846745 1242860225 1735066325 5779233725 12741510589 63707552945 216605680013 318537764725 1083028400065 5415142000325