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13043201412032 = 26113302350651
BaseRepresentation
bin1011110111001101101101…
…1000110000101111000000
31201011220210010120122110222
42331303123120300233000
53202144434030141112
643423544120442212
72514224455503101
oct275633330605700
951156703518428
1013043201412032
114179655186000
121567a39919368
13737c7908210c
143314198683a8
1517943c24a372
hexbdcdb630bc0

13043201412032 has 112 divisors (see below), whose sum is σ = 28478898169344. Its totient is φ = 5926649696000.

The previous prime is 13043201411993. The next prime is 13043201412037. The reversal of 13043201412032 is 23021410234031.

It is a junction number, because it is equal to n+sod(n) for n = 13043201411992 and 13043201412010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13043201412037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257485907 + ... + 257536557.

It is an arithmetic number, because the mean of its divisors is an integer number (254275876512).

Almost surely, 213043201412032 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 13043201412032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14239449084672).

13043201412032 is an abundant number, since it is smaller than the sum of its proper divisors (15435696757312).

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

13043201412032 is an equidigital number, since it uses as much as digits as its factorization.

13043201412032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53719 (or 53687 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 13043201412032 its reverse (23021410234031), we get a palindrome (36064611646063).

The spelling of 13043201412032 in words is "thirteen trillion, forty-three billion, two hundred one million, four hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1331 1936 2662 3023 3872 5324 6046 7744 10648 12092 21296 24184 33253 42592 48368 50651 66506 85184 96736 101302 133012 193472 202604 266024 365783 405208 532048 557161 731566 810416 1064096 1114322 1463132 1620832 2128192 2228644 2926264 3241664 4023613 4457288 5852528 6128771 8047226 8914576 11705056 12257542 16094452 17829152 23410112 24515084 32188904 35658304 49030168 64377808 67416481 98060336 128755616 134832962 153117973 196120672 257511232 269665924 306235946 392241344 539331848 612471892 1078663696 1224943784 1684297703 2157327392 2449887568 3368595406 4314654784 4899775136 6737190812 9799550272 13474381624 18527274733 26948763248 37054549466 53897526496 74109098932 107795052992 148218197864 203800022063 296436395728 407600044126 592872791456 815200088252 1185745582912 1630400176504 3260800353008 6521600706016 13043201412032