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10141322444424 = 23321031709800171
BaseRepresentation
bin1001001110010011010111…
…1010111111111010001000
31022220111112012100021021200
42103210311322333322020
52312123412021210144
633322505331304200
72064454265323563
oct223446572777210
938814465307250
1010141322444424
11325aa02155236
12117955844b060
135874269b33c2
14270bb22414da
15128bebcd9c69
hex93935ebfe88

10141322444424 has 96 divisors (see below), whose sum is σ = 27749004753600. Its totient is φ = 3345658001280.

The previous prime is 10141322444399. The next prime is 10141322444467. The reversal of 10141322444424 is 42444422314101.

10141322444424 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 1 + 3 + 224 + 4 + 4 + 424 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12273859 + ... + 13074029.

It is an arithmetic number, because the mean of its divisors is an integer number (289052132850).

Almost surely, 210141322444424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10141322444424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13874502376800).

10141322444424 is an abundant number, since it is smaller than the sum of its proper divisors (17607682309176).

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

10141322444424 is a wasteful number, since it uses less digits than its factorization.

10141322444424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801995 (or 801988 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

Adding to 10141322444424 its reverse (42444422314101), we get a palindrome (52585744758525).

The spelling of 10141322444424 in words is "ten trillion, one hundred forty-one billion, three hundred twenty-two million, four hundred forty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 103 206 309 412 618 824 927 1236 1709 1854 2472 3418 3708 5127 6836 7416 10254 13672 15381 20508 30762 41016 61524 123048 176027 352054 528081 704108 800171 1056162 1408216 1584243 1600342 2112324 2400513 3168486 3200684 4224648 4801026 6336972 6401368 7201539 9602052 12673944 14403078 19204104 28806156 57612312 82417613 164835226 247252839 329670452 494505678 659340904 741758517 989011356 1367492239 1483517034 1978022712 2734984478 2967034068 4102476717 5469968956 5934068136 8204953434 10939937912 12307430151 16409906868 24614860302 32819813736 49229720604 98459441208 140851700617 281703401234 422555101851 563406802468 845110203702 1126813604936 1267665305553 1690220407404 2535330611106 3380440814808 5070661222212 10141322444424