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339522142842 = 232296738811097
BaseRepresentation
bin1001111000011010001…
…10001100001001111010
31012110100212210220110100
410330031012030021322
521030320132032332
6415550241500230
733346450411521
oct4741506141172
91173325726410
10339522142842
11120a99442173
1255975341676
132602abac94c
141260c07d4b8
158c7225367c
hex4f0d18c27a

339522142842 has 96 divisors (see below), whose sum is σ = 763689260880. Its totient is φ = 108885934080.

The previous prime is 339522142807. The next prime is 339522142849. The reversal of 339522142842 is 248241225933.

339522142842 is a `hidden beast` number, since 3 + 3 + 9 + 522 + 1 + 42 + 84 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 56786413401 + 282735729441 = 238299^2 + 531729^2 .

It is not an unprimeable number, because it can be changed into a prime (339522142849) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 309500038 + ... + 309501134.

Almost surely, 2339522142842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 339522142842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381844630440).

339522142842 is an abundant number, since it is smaller than the sum of its proper divisors (424167118038).

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

339522142842 is a wasteful number, since it uses less digits than its factorization.

339522142842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 2685 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 339522142842 in words is "three hundred thirty-nine billion, five hundred twenty-two million, one hundred forty-two thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 522 673 881 1097 1346 1762 2019 2194 2643 3291 4038 5286 6057 6582 7929 9873 12114 15858 19517 19746 25549 31813 39034 51098 58551 63626 76647 95439 117102 153294 175653 190878 229941 286317 351306 459882 572634 592913 738281 966457 1185826 1476562 1778739 1932914 2214843 2899371 3557478 4429686 5336217 5798742 6644529 8698113 10672434 13289058 17194477 17396226 21410149 28027253 34388954 42820298 51583431 56054506 64230447 84081759 103166862 128460894 154750293 168163518 192691341 252245277 309500586 385382682 504490554 650425561 1300851122 1951276683 3902553366 5853830049 11707660098 18862341269 37724682538 56587023807 113174047614 169761071421 339522142842