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434051402031 = 33131637586587
BaseRepresentation
bin1100101000011110111…
…10101100100100101111
31112111100210021211011000
412110033132230210233
524102414124331111
6531222255531343
743234125020412
oct6241736544457
91474323254130
10434051402031
11158097778775
1270156b29b53
1331c14181440
1417018701b79
15b45604cc56
hex650f7ac92f

434051402031 has 32 divisors (see below), whose sum is σ = 696752241920. Its totient is φ = 265469817312.

The previous prime is 434051402003. The next prime is 434051402039. The reversal of 434051402031 is 130204150434.

It is a happy number.

434051402031 is a `hidden beast` number, since 43 + 405 + 14 + 0 + 203 + 1 = 666.

It is not a de Polignac number, because 434051402031 - 29 = 434051401519 is a prime.

It is a super-2 number, since 2×4340514020312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 434051401986 and 434051402004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (434051402039) 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, 3736081 + ... + 3850506.

It is an arithmetic number, because the mean of its divisors is an integer number (21773507560).

Almost surely, 2434051402031 is an apocalyptic number.

434051402031 is a deficient number, since it is larger than the sum of its proper divisors (262700839889).

434051402031 is a wasteful number, since it uses less digits than its factorization.

434051402031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7586772 (or 7586766 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 434051402031 its reverse (130204150434), we get a palindrome (564255552465).

The spelling of 434051402031 in words is "four hundred thirty-four billion, fifty-one million, four hundred two thousand, thirty-one".

Divisors: 1 3 9 13 27 39 117 163 351 489 1467 2119 4401 6357 19071 57213 7586587 22759761 68279283 98625631 204837849 295876893 887630679 1236613681 2662892037 3709841043 11129523129 16075977853 33388569387 48227933559 144683800677 434051402031