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434001505115231 = 19151484733120763
BaseRepresentation
bin110001010101110001101100…
…1100010110101110001011111
32002220200010202002210100111122
41202223203121202311301133
5423341140040302141411
64135013312232041155
7160262400611526014
oct14253433142656137
92086603662710448
10434001505115231
111163170062726a9
1240814495b331bb
1315822221549051
147925adbba970b
1535295960bc9db
hex18ab8d98b5c5f

434001505115231 has 16 divisors (see below), whose sum is σ = 459878778973440. Its totient is φ = 408427854292800.

The previous prime is 434001505115197. The next prime is 434001505115239. The reversal of 434001505115231 is 132511505100434.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-434001505115231 is a prime.

It is a super-2 number, since 2×4340015051152312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 434001505115191 and 434001505115200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434001505115239) 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, 137508656 + ... + 140629418.

It is an arithmetic number, because the mean of its divisors is an integer number (28742423685840).

Almost surely, 2434001505115231 is an apocalyptic number.

434001505115231 is a deficient number, since it is larger than the sum of its proper divisors (25877273858209).

434001505115231 is a wasteful number, since it uses less digits than its factorization.

434001505115231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3169406.

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 434001505115231 in words is "four hundred thirty-four trillion, one billion, five hundred five million, one hundred fifteen thousand, two hundred thirty-one".

Divisors: 1 19 151 2869 48473 920987 3120763 7319423 59294497 139069037 471235213 8953469047 151272744899 2874182153081 22842184479749 434001505115231