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411434114130 = 2325131501723417
BaseRepresentation
bin1011111110010110110…
…00100101110001010010
31110022222112212112212100
411333023120211301102
523220104113123010
6513002112541230
741503502160504
oct5771330456122
91408875775770
10411434114130
111495409165a6
12678a4551816
132ca4b48ca50
1415cb0997d74
15aa806392c0
hex5fcb625c52

411434114130 has 96 divisors (see below), whose sum is σ = 1152141432624. Its totient is φ = 101265020928.

The previous prime is 411434114101. The next prime is 411434114131. The reversal of 411434114130 is 31411434114.

411434114130 is a `hidden beast` number, since 4 + 114 + 3 + 411 + 4 + 130 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 61936774641 + 349497339489 = 248871^2 + 591183^2 .

It is a junction number, because it is equal to n+sod(n) for n = 411434114094 and 411434114103.

It is not an unprimeable number, because it can be changed into a prime (411434114131) 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, 17558182 + ... + 17581598.

Almost surely, 2411434114130 is an apocalyptic number.

411434114130 is an abundant number, since it is smaller than the sum of its proper divisors (740707318494).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

411434114130 is a wasteful number, since it uses less digits than its factorization.

411434114130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38460 (or 38457 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 411434114130 its reverse (31411434114), we get a palindrome (442845548244).

The spelling of 411434114130 in words is "four hundred eleven billion, four hundred thirty-four million, one hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 15017 23417 30034 45051 46834 70251 75085 90102 117085 135153 140502 150170 195221 210753 225255 234170 270306 304421 351255 390442 421506 450510 585663 608842 675765 702510 913263 976105 1053765 1171326 1351530 1522105 1756989 1826526 1952210 2107530 2739789 2928315 3044210 3513978 4566315 5479578 5856630 8784945 9132630 13698945 17569890 27397890 351653089 703306178 1054959267 1758265445 2109918534 3164877801 3516530890 4571490157 5274796335 6329755602 9142980314 10549592670 13714470471 15824389005 22857450785 27428940942 31648778010 41143411413 45714901570 68572352355 82286822826 137144704710 205717057065 411434114130