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34541112132 = 22322323495197
BaseRepresentation
bin100000001010110011…
…111000101101000100
310022011020012022010100
4200022303320231010
51031220011042012
623511251524100
72331650415552
oct401263705504
9108136168110
1034541112132
111371561486a
12683b8b9630
1333461346b7
1419595b6bd2
15d726388dc
hex80acf8b44

34541112132 has 108 divisors (see below), whose sum is σ = 91552633900. Its totient is φ = 10979438976.

The previous prime is 34541112119. The next prime is 34541112143. The reversal of 34541112132 is 23121114543.

34541112132 is a `hidden beast` number, since 3 + 4 + 541 + 112 + 1 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20716996356 + 13824115776 = 143934^2 + 117576^2 .

It is a junction number, because it is equal to n+sod(n) for n = 34541112096 and 34541112105.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6643758 + ... + 6648954.

Almost surely, 234541112132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34541112132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45776316950).

34541112132 is an abundant number, since it is smaller than the sum of its proper divisors (57011521768).

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

34541112132 is a wasteful number, since it uses less digits than its factorization.

34541112132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602 (or 5574 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 34541112132 its reverse (23121114543), we get a palindrome (57662226675).

The spelling of 34541112132 in words is "thirty-four billion, five hundred forty-one million, one hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 349 414 529 698 828 1047 1058 1396 1587 2094 2116 3141 3174 4188 4761 5197 6282 6348 8027 9522 10394 12564 15591 16054 19044 20788 24081 31182 32108 46773 48162 62364 72243 93546 96324 119531 144486 184621 187092 239062 288972 358593 369242 478124 553863 717186 738484 1075779 1107726 1434372 1661589 1813753 2151558 2215452 2749213 3323178 3627506 4303116 5441259 5498426 6646356 7255012 8247639 10882518 10996852 16323777 16495278 21765036 24742917 32647554 32990556 41716319 49485834 65295108 83432638 98971668 125148957 166865276 250297914 375446871 500595828 750893742 959475337 1501787484 1918950674 2878426011 3837901348 5756852022 8635278033 11513704044 17270556066 34541112132