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146008304052 = 2231331199315149
BaseRepresentation
bin1000011111111011000…
…1011110100110110100
3111221212120101100102220
42013332301132212310
54343011111212202
6151024132402340
713356136051512
oct2077661364664
9457776340386
10146008304052
1156a15976986
1224369a763b0
13109cb5a76b0
1470d159d4b2
153be8449abc
hex21fec5e9b4

146008304052 has 96 divisors (see below), whose sum is σ = 378942950400. Its totient is φ = 43451735040.

The previous prime is 146008304011. The next prime is 146008304069. The reversal of 146008304052 is 250403800641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9630574 + ... + 9645722.

It is an arithmetic number, because the mean of its divisors is an integer number (3947322400).

Almost surely, 2146008304052 is an apocalyptic number.

146008304052 is a gapful number since it is divisible by the number (12) 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 146008304052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189471475200).

146008304052 is an abundant number, since it is smaller than the sum of its proper divisors (232934646348).

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

146008304052 is a wasteful number, since it uses less digits than its factorization.

146008304052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17193 (or 17191 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 146008304052 in words is "one hundred forty-six billion, eight million, three hundred four thousand, fifty-two".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 1209 1612 1993 2418 3986 4836 5979 7972 11958 15149 23916 25909 30298 45447 51818 60596 61783 77727 90894 103636 123566 155454 181788 185349 196937 247132 310908 370698 393874 469619 590811 741396 787748 803179 939238 1181622 1408857 1606358 1878476 2363244 2409537 2817714 3212716 4819074 5635428 6105047 9638148 12210094 18315141 24420188 30191957 36630282 60383914 73260564 90575871 120767828 181151742 362303484 392495441 784990882 935950667 1177486323 1569981764 1871901334 2354972646 2807852001 3743802668 4709945292 5615704002 11231408004 12167358671 24334717342 36502076013 48669434684 73004152026 146008304052