Search a number
-
+
24312423112432 = 2471327975970001
BaseRepresentation
bin1011000011100101011010…
…10101111101111011110000
310012002020121120100201211021
411201302231111331323300
511141313320304044212
6123412550055425224
75056341336460150
oct541625525757360
9105066546321737
1024312423112432
117823928029174
122887ab1385214
131074861917170
14600a285ba760
152c264de9c307
hex161cad57def0

24312423112432 has 80 divisors (see below), whose sum is σ = 57996515749312. Its totient is φ = 9614661120000.

The previous prime is 24312423112409. The next prime is 24312423112433. The reversal of 24312423112432 is 23421132421342.

It is a super-2 number, since 2×243124231124322 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24312423112433) 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, 1087432 + ... + 7057432.

Almost surely, 224312423112432 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 24312423112432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28998257874656).

24312423112432 is an abundant number, since it is smaller than the sum of its proper divisors (33684092636880).

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

24312423112432 is a wasteful number, since it uses less digits than its factorization.

24312423112432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5972826 (or 5972820 counting only the distinct ones).

The product of its digits is 55296, while the sum is 34.

Adding to 24312423112432 its reverse (23421132421342), we get a palindrome (47733555533774).

The spelling of 24312423112432 in words is "twenty-four trillion, three hundred twelve billion, four hundred twenty-three million, one hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 2797 5594 11188 19579 22376 36361 39158 44752 72722 78316 145444 156632 254527 290888 313264 509054 581776 1018108 2036216 4072432 5970001 11940002 23880004 41790007 47760008 77610013 83580014 95520016 155220026 167160028 310440052 334320056 543270091 620880104 668640112 1086540182 1241760208 2173080364 4346160728 8692321456 16698092797 33396185594 66792371188 116886649579 133584742376 217075206361 233773299158 267169484752 434150412722 467546598316 868300825444 935093196632 1519526444527 1736601650888 1870186393264 3039052889054 3473203301776 6078105778108 12156211556216 24312423112432