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11515343020144 = 2417631136149297
BaseRepresentation
bin1010011110010001111111…
…1011100010000001110000
31111202212010001110120102021
42213210133323202001300
53002131410303121034
640254024153001224
72265645635446105
oct247443773420160
944685101416367
1011515343020144
11373a6a1a26547
12135b9010b3214
13656b7a19c072
142bb4ba390aac
1514e8192ac6b4
hexa791fee2070

11515343020144 has 80 divisors (see below), whose sum is σ = 23678690734656. Its totient is φ = 5406312038400.

The previous prime is 11515343020087. The next prime is 11515343020151. The reversal of 11515343020144 is 44102034351511.

11515343020144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233566504 + ... + 233615800.

Almost surely, 211515343020144 is an apocalyptic number.

It is an amenable number.

11515343020144 is an abundant number, since it is smaller than the sum of its proper divisors (12163347714512).

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

11515343020144 is a wasteful number, since it uses less digits than its factorization.

11515343020144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51314 (or 51308 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 11515343020144 its reverse (44102034351511), we get a palindrome (55617377371655).

The spelling of 11515343020144 in words is "eleven trillion, five hundred fifteen billion, three hundred forty-three million, twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 631 1262 1361 2524 2722 5048 5444 10096 10727 10888 21454 21776 23137 42908 46274 49297 85816 92548 98594 171632 185096 197188 370192 394376 788752 838049 858791 1676098 1717582 3352196 3435164 6704392 6870328 13408784 13740656 14599447 29198894 31106407 58397788 62212814 67093217 116795576 124425628 134186434 233591152 248851256 268372868 497702512 528808919 536745736 1057617838 1073491472 1140584689 2115235676 2281169378 4230471352 4562338756 8460942704 9124677512 18249355024 42335819927 84671639854 169343279708 338686559416 677373118832 719708938759 1439417877518 2878835755036 5757671510072 11515343020144