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141204410344431 = 32783121722189067
BaseRepresentation
bin100000000110110010110110…
…101110000010001111101111
3200111222000021010210100202200
4200012302312232002033233
5122001443113022010211
61220152224404352543
741512452631223130
oct4006626656021757
9614860233710680
10141204410344431
1140aa04aa4a2395
1213a0643b3a5753
1360a3698940965
1426c2489463c87
15114d0b64a5b56
hex806cb6b823ef

141204410344431 has 48 divisors (see below), whose sum is σ = 236101624222464. Its totient is φ = 79650581363712.

The previous prime is 141204410344427. The next prime is 141204410344433. The reversal of 141204410344431 is 134443014402141.

141204410344431 is a `hidden beast` number, since 1 + 4 + 1 + 204 + 4 + 1 + 0 + 3 + 4 + 443 + 1 = 666.

141204410344431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 141204410344431 - 22 = 141204410344427 is a prime.

It is a super-2 number, since 2×1412044103444312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141204410344433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4730841 + ... + 17458226.

It is an arithmetic number, because the mean of its divisors is an integer number (4918783837968).

Almost surely, 2141204410344431 is an apocalyptic number.

141204410344431 is a deficient number, since it is larger than the sum of its proper divisors (94897213878033).

141204410344431 is a wasteful number, since it uses less digits than its factorization.

141204410344431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22190380 (or 22190377 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 141204410344431 its reverse (134443014402141), we get a palindrome (275647424746572).

The spelling of 141204410344431 in words is "one hundred forty-one trillion, two hundred four billion, four hundred ten million, three hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 63 83 249 581 747 1217 1743 3651 5229 8519 10953 25557 76671 101011 303033 707077 909099 2121231 6363693 22189067 66567201 155323469 199701603 465970407 1397911221 1841692561 5525077683 12891847927 16575233049 27004094539 38675543781 81012283617 116026631343 189028661773 243036850851 567085985319 1701257955957 2241339846737 6724019540211 15689378927159 20172058620633 47068136781477 141204410344431