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10434441342 = 2313315973141
BaseRepresentation
bin10011011011111000…
…01111000001111110
3222221012020112121110
421231330033001332
5132332204110332
64443222142450
7516401200533
oct115574170176
928835215543
1010434441342
114474a74246
122032581a26
13ca39ca460
1470db30d8a
154110c64cc
hex26df0f07e

10434441342 has 64 divisors (see below), whose sum is σ = 23592683520. Its totient is φ = 3054326400.

The previous prime is 10434441331. The next prime is 10434441383. The reversal of 10434441342 is 24314443401.

It is a super-2 number, since 2×104344413422 (a number of 21 digits) contains 22 as substring.

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, 106092 + ... + 179232.

It is an arithmetic number, because the mean of its divisors is an integer number (368635680).

Almost surely, 210434441342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10434441342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11796341760).

10434441342 is an abundant number, since it is smaller than the sum of its proper divisors (13158242178).

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

10434441342 is a wasteful number, since it uses less digits than its factorization.

10434441342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73249.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 10434441342 its reverse (24314443401), we get a palindrome (34748884743).

The spelling of 10434441342 in words is "ten billion, four hundred thirty-four million, four hundred forty-one thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 26 31 39 59 62 78 93 118 177 186 354 403 767 806 1209 1534 1829 2301 2418 3658 4602 5487 10974 23777 47554 71331 73141 142662 146282 219423 438846 950833 1901666 2267371 2852499 4315319 4534742 5704998 6802113 8630638 12945957 13604226 25891914 29475823 56099147 58951646 88427469 112198294 133774889 168297441 176854938 267549778 336594882 401324667 802649334 1739073557 3478147114 5217220671 10434441342