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34046512133445 = 3257472922855607
BaseRepresentation
bin1111011110111000100100…
…10000101111010101000101
311110112210222222011122121100
413233130102100233111011
513430304224101232240
6200224430213410313
710112531211122040
oct757342220572505
9143483888148540
1034046512133445
11a937054565a29
12399a538039999
1315cc7594c8a26
14859c07ad9c57
153e0964316e30
hex1ef71242f545

34046512133445 has 48 divisors (see below), whose sum is σ = 67458784124160. Its totient is φ = 15560827944192.

The previous prime is 34046512133407. The next prime is 34046512133453. The reversal of 34046512133445 is 54433121564043.

34046512133445 is a `hidden beast` number, since 3 + 4 + 0 + 4 + 65 + 12 + 133 + 445 = 666.

It is not a de Polignac number, because 34046512133445 - 28 = 34046512133189 is a prime.

It is a super-4 number, since 4×340465121334454 (a number of 55 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 34046512133445.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9938169 + ... + 12917438.

It is an arithmetic number, because the mean of its divisors is an integer number (1405391335920).

Almost surely, 234046512133445 is an apocalyptic number.

34046512133445 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

34046512133445 is a deficient number, since it is larger than the sum of its proper divisors (33412271990715).

34046512133445 is a wasteful number, since it uses less digits than its factorization.

34046512133445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22860354 (or 22860351 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

Adding to 34046512133445 its reverse (54433121564043), we get a palindrome (88479633697488).

The spelling of 34046512133445 in words is "thirty-four trillion, forty-six billion, five hundred twelve million, one hundred thirty-three thousand, four hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 4729 14187 23645 33103 42561 70935 99309 165515 212805 297927 496545 1489635 22855607 68566821 114278035 159989249 205700463 342834105 479967747 799946245 1028502315 1439903241 2399838735 7199516205 108084165503 324252496509 540420827515 756589158521 972757489527 1621262482545 2269767475563 3782945792605 4863787447635 6809302426689 11348837377815 34046512133445