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20040312432 = 2437261139681
BaseRepresentation
bin10010101010011111…
…101110011001110000
31220201122101100111210
4102222133232121300
5312020304444212
613112325240120
71306421562600
oct225237563160
956648340453
1020040312432
118554263388
123a73563040
131b74b5074a
14d817bac00
157c458053c
hex4aa7ee670

20040312432 has 120 divisors (see below), whose sum is σ = 61210887312. Its totient is φ = 5631897600.

The previous prime is 20040312407. The next prime is 20040312433. The reversal of 20040312432 is 23421304002.

It is a super-2 number, since 2×200403124322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20040312399 and 20040312408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20040312433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73632 + ... + 213312.

Almost surely, 220040312432 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 20040312432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30605443656).

20040312432 is an abundant number, since it is smaller than the sum of its proper divisors (41170574880).

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

20040312432 is a wasteful number, since it uses less digits than its factorization.

20040312432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139767 (or 139754 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 20040312432 its reverse (23421304002), we get a palindrome (43461616434).

The spelling of 20040312432 in words is "twenty billion, forty million, three hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 61 84 98 112 122 147 168 183 196 244 294 336 366 392 427 488 588 732 784 854 976 1176 1281 1464 1708 2352 2562 2928 2989 3416 5124 5978 6832 8967 10248 11956 17934 20496 23912 35868 47824 71736 139681 143472 279362 419043 558724 838086 977767 1117448 1676172 1955534 2234896 2933301 3352344 3911068 5866602 6704688 6844369 7822136 8520541 11733204 13688738 15644272 17041082 20533107 23466408 25561623 27377476 34082164 41066214 46932816 51123246 54754952 59643787 68164328 82132428 102246492 109509904 119287574 136328656 164264856 178931361 204492984 238575148 328529712 357862722 408985968 417506509 477150296 715725444 835013018 954300592 1252519527 1431450888 1670026036 2505039054 2862901776 3340052072 5010078108 6680104144 10020156216 20040312432