Search a number
-
+
432043020340234 = 22961894113657873
BaseRepresentation
bin110001000111100001101101…
…0110000010100110000001010
32002122201220112221011102222121
41202033003122300110300022
5423112043101201341414
64130513453514241454
7160001035542600232
oct14217033260246012
92078656487142877
10432043020340234
11115731463709926
12405589b942628a
131570c635c5a394
147898dcac30cc2
1534e366cb2c724
hex188f0dac14c0a

432043020340234 has 32 divisors (see below), whose sum is σ = 681478197938640. Its totient is φ = 205130311142400.

The previous prime is 432043020340223. The next prime is 432043020340241.

432043020340234 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 76077557840025 + 355965462500209 = 8722245^2 + 18867047^2 .

It is a super-2 number, since 2×4320430203402342 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 432043020340234.

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, 24804322 + ... + 38462194.

Almost surely, 2432043020340234 is an apocalyptic number.

432043020340234 is a deficient number, since it is larger than the sum of its proper divisors (249435177598406).

432043020340234 is a wasteful number, since it uses less digits than its factorization.

432043020340234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13666906.

The product of its (nonzero) digits is 165888, while the sum is 34.

The spelling of 432043020340234 in words is "four hundred thirty-two trillion, forty-three billion, twenty million, three hundred forty thousand, two hundred thirty-four".

Divisors: 1 2 29 58 61 122 1769 3538 8941 17882 259289 518578 545401 1090802 13657873 15816629 27315746 31633258 396078317 792156634 833130253 1666260506 24160777337 48321554674 122115042493 244230084986 3541336232297 7082672464594 7449017592073 14898035184146 216021510170117 432043020340234