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142306405125 = 3531272988061
BaseRepresentation
bin1000010010001000011…
…1110110101100000101
3111121022120121101210020
42010202013312230011
54312420414431000
6145212532045353
713165325325333
oct2044207665405
9447276541706
10142306405125
115539628a485
12236b6163859
131055b66a661
146c5da86b53
153a7d45aba0
hex21221f6b05

142306405125 has 32 divisors (see below), whose sum is σ = 238662488064. Its totient is φ = 75299112000.

The previous prime is 142306405103. The next prime is 142306405127. The reversal of 142306405125 is 521504603241.

It is not a de Polignac number, because 142306405125 - 210 = 142306404101 is a prime.

It is a super-3 number, since 3×1423064051253 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142306405127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1446406 + ... + 1541655.

It is an arithmetic number, because the mean of its divisors is an integer number (7458202752).

Almost surely, 2142306405125 is an apocalyptic number.

142306405125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142306405125 is a deficient number, since it is larger than the sum of its proper divisors (96356082939).

142306405125 is a wasteful number, since it uses less digits than its factorization.

142306405125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2988206 (or 2988196 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 142306405125 in words is "one hundred forty-two billion, three hundred six million, four hundred five thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 75 125 127 375 381 635 1905 3175 9525 15875 47625 2988061 8964183 14940305 44820915 74701525 224104575 373507625 379483747 1120522875 1138451241 1897418735 5692256205 9487093675 28461281025 47435468375 142306405125