Search a number
-
+
1143514211232 = 253231275740597
BaseRepresentation
bin10000101000111110110…
…000100010001110100000
311001022121110201201202210
4100220332300202032200
5122213404114224412
62233153450042120
7145421230264101
oct20507660421640
94038543651683
101143514211232
11400a63a62a38
12165754719340
1383aa9c31763
143d4bc6923a8
151eb2ac5083c
hex10a3ec223a0

1143514211232 has 96 divisors (see below), whose sum is σ = 3132557269632. Its totient is φ = 364561173504.

The previous prime is 1143514211179. The next prime is 1143514211233. The reversal of 1143514211232 is 2321124153411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11435142112322 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1143514211232.

It is not an unprimeable number, because it can be changed into a prime (1143514211233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28147158 + ... + 28187754.

It is an arithmetic number, because the mean of its divisors is an integer number (32630804892).

Almost surely, 21143514211232 is an apocalyptic number.

1143514211232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1143514211232 is an abundant number, since it is smaller than the sum of its proper divisors (1989043058400).

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

1143514211232 is a wasteful number, since it uses less digits than its factorization.

1143514211232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53390 (or 53382 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

Adding to 1143514211232 its reverse (2321124153411), we get a palindrome (3464638364643).

The spelling of 1143514211232 in words is "one trillion, one hundred forty-three billion, five hundred fourteen million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 12757 25514 38271 40597 51028 76542 81194 102056 121791 153084 162388 204112 243582 293411 306168 324776 408224 487164 586822 612336 649552 880233 933731 974328 1173644 1224672 1299104 1760466 1867462 1948656 2347288 2801193 3520932 3734924 3897312 4694576 5602386 7041864 7469848 9389152 11204772 14083728 14939696 22409544 28167456 29879392 44819088 89638176 517895929 1035791858 1553687787 2071583716 3107375574 4143167432 6214751148 8286334864 11911606367 12429502296 16572669728 23823212734 24859004592 35734819101 47646425468 49718009184 71469638202 95292850936 142939276404 190585701872 285878552808 381171403744 571757105616 1143514211232