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432043201244031 = 313192832060262377
BaseRepresentation
bin110001000111100001110010…
…1100010011010101101111111
32002122201221000112120022100020
41202033003211202122231333
5423112043434004302111
64130513523455503223
7160001043200341446
oct14217034542325577
92078657015508306
10432043201244031
111157315468395a3
1240558a49b27b13
131570c664589750
147899006c81d5d
1534e367d963906
hex188f0e589ab7f

432043201244031 has 32 divisors (see below), whose sum is σ = 655328257194240. Its totient is φ = 250989403693824.

The previous prime is 432043201243967. The next prime is 432043201244033. The reversal of 432043201244031 is 130442102340234.

It is not a de Polignac number, because 432043201244031 - 26 = 432043201243967 is a prime.

It is a super-2 number, since 2×4320432012440312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 432043201243983 and 432043201244001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432043201244033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1029921486 + ... + 1030340891.

It is an arithmetic number, because the mean of its divisors is an integer number (20479008037320).

Almost surely, 2432043201244031 is an apocalyptic number.

432043201244031 is a deficient number, since it is larger than the sum of its proper divisors (223285055950209).

432043201244031 is a wasteful number, since it uses less digits than its factorization.

432043201244031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060262695.

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 432043201244031 its reverse (130442102340234), we get a palindrome (562485303584265).

The spelling of 432043201244031 in words is "four hundred thirty-two trillion, forty-three billion, two hundred one million, two hundred forty-four thousand, thirty-one".

Divisors: 1 3 13 19 39 57 247 283 741 849 3679 5377 11037 16131 69901 209703 2060262377 6180787131 26783410901 39144985163 80350232703 117434955489 508884807119 583054252691 1526654421357 1749162758073 7579705284983 11078030801129 22739115854949 33234092403387 144014400414677 432043201244031