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10143334044 = 223231591271213
BaseRepresentation
bin10010111001001011…
…01111111010011100
3222011220110202110200
421130211233322130
5131233143142134
64354302503500
7506234626314
oct113445577234
928156422420
1010143334044
114335713aa8
121b70b94b90
13c585c420c
146c31d4444
153e5772499
hex25c96fe9c

10143334044 has 144 divisors (see below), whose sum is σ = 27150090240. Its totient is φ = 3188626560.

The previous prime is 10143334039. The next prime is 10143334049. The reversal of 10143334044 is 44043334101.

It is an interprime number because it is at equal distance from previous prime (10143334039) and next prime (10143334049).

It is a junction number, because it is equal to n+sod(n) for n = 10143333999 and 10143334017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10143334049) 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, 8361582 + ... + 8362794.

Almost surely, 210143334044 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 10143334044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13575045120).

10143334044 is an abundant number, since it is smaller than the sum of its proper divisors (17006756196).

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

10143334044 is a wasteful number, since it uses less digits than its factorization.

10143334044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 10143334044 its reverse (44043334101), we get a palindrome (54186668145).

The spelling of 10143334044 in words is "ten billion, one hundred forty-three million, three hundred thirty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 59 62 93 118 124 127 177 186 236 254 279 354 372 381 508 531 558 708 762 1062 1116 1143 1213 1524 1829 2124 2286 2426 3639 3658 3937 4572 4852 5487 7278 7316 7493 7874 10917 10974 11811 14556 14986 15748 16461 21834 21948 22479 23622 29972 32922 35433 37603 43668 44958 47244 65844 67437 70866 71567 75206 89916 112809 134874 141732 143134 150412 154051 214701 225618 232283 269748 286268 308102 338427 429402 451236 462153 464566 616204 644103 676854 696849 858804 924306 929132 1288206 1353708 1386459 1393698 1848612 2090547 2218577 2576412 2772918 2787396 4181094 4437154 4775581 5545836 6655731 8362188 8874308 9089009 9551162 13311462 14326743 18178018 19102324 19967193 26622924 27267027 28653486 36356036 39934386 42980229 54534054 57306972 79868772 81801081 85960458 109068108 163602162 171920916 281759279 327204324 563518558 845277837 1127037116 1690555674 2535833511 3381111348 5071667022 10143334044