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10342443342 = 2371147677109
BaseRepresentation
bin10011010000111010…
…10010100101001110
3222200210010120002010
421220131102211032
5132140131141332
64430134242050
7514203214020
oct115035224516
928623116063
1010342443342
114428048840
1220077b6326
13c8a928c7a
14701824010
15407ea29cc
hex26875294e

10342443342 has 128 divisors (see below), whose sum is σ = 26734510080. Its totient is φ = 2589586560.

The previous prime is 10342443301. The next prime is 10342443347. The reversal of 10342443342 is 24334424301.

It is a happy number.

It is a super-2 number, since 2×103424433422 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10342443347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1451284 + ... + 1458392.

It is an arithmetic number, because the mean of its divisors is an integer number (208863360).

Almost surely, 210342443342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10342443342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13367255040).

10342443342 is an abundant number, since it is smaller than the sum of its proper divisors (16392066738).

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

10342443342 is a wasteful number, since it uses less digits than its factorization.

10342443342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7246.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 10342443342 its reverse (24334424301), we get a palindrome (34676867643).

The spelling of 10342443342 in words is "ten billion, three hundred forty-two million, four hundred forty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 66 67 77 94 134 141 154 201 231 282 329 402 462 469 517 658 737 938 987 1034 1407 1474 1551 1974 2211 2814 3102 3149 3619 4422 5159 6298 7109 7238 9447 10318 10857 14218 15477 18894 21327 21714 22043 30954 34639 42654 44086 49763 66129 69278 78199 99526 103917 132258 149289 156398 207834 234597 242473 298578 334123 469194 476303 484946 547393 668246 727419 952606 1002369 1094786 1428909 1454838 1642179 2004738 2338861 2857818 3284358 3334121 3675353 4677722 5239333 6668242 7016583 7350706 10002363 10478666 11026059 14033166 15717999 20004726 22052118 22386241 25727471 31435998 36675331 44772482 51454942 67158723 73350662 77182413 110025993 134317446 154364826 156703687 220051986 246248651 313407374 470111061 492497302 738745953 940222122 1477491906 1723740557 3447481114 5171221671 10342443342