Search a number
-
+
33311413134 = 2343110364399
BaseRepresentation
bin11111000001100000…
…111101001110001110
310011222112022010020000
4133001200331032032
51021210210210014
623145243105130
72256326224356
oct370140751616
9104875263200
1033311413134
11131444737aa
126557b121a6
1331ab44225c
141880155b66
15cee6d3509
hex7c183d38e

33311413134 has 80 divisors (see below), whose sum is σ = 77799321600. Its totient is φ = 10641125520.

The previous prime is 33311413123. The next prime is 33311413169. The reversal of 33311413134 is 43131411333.

33311413134 is a `hidden beast` number, since 3 + 331 + 14 + 1 + 313 + 4 = 666.

It is a super-2 number, since 2×333114131342 (a number of 22 digits) contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33311413098 and 33311413107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 485067 + ... + 549465.

It is an arithmetic number, because the mean of its divisors is an integer number (972491520).

Almost surely, 233311413134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33311413134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38899660800).

33311413134 is an abundant number, since it is smaller than the sum of its proper divisors (44487908466).

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

33311413134 is a wasteful number, since it uses less digits than its factorization.

33311413134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64547 (or 64538 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 33311413134 its reverse (43131411333), we get a palindrome (76442824467).

The spelling of 33311413134 in words is "thirty-three billion, three hundred eleven million, four hundred thirteen thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 103 162 186 206 279 309 558 618 837 927 1674 1854 2511 2781 3193 5022 5562 6386 8343 9579 16686 19158 28737 57474 64399 86211 128798 172422 193197 258633 386394 517266 579591 1159182 1738773 1996369 3477546 3992738 5216319 5989107 6633097 10432638 11978214 13266194 17967321 19899291 35934642 39798582 53901963 59697873 107803926 119395746 161705889 179093619 205626007 323411778 358187238 411252014 537280857 616878021 1074561714 1233756042 1850634063 3701268126 5551902189 11103804378 16655706567 33311413134