Search a number
-
+
133441426503 = 32711451342667
BaseRepresentation
bin111110001000110111…
…0101001010001000111
3110202102202120211021200
41330101232221101013
54141242001122003
6141145132513543
712432542260530
oct1742156512107
9422382524250
10133441426503
115165722a870
1221a4131b8b3
13c777b73588
14665c57b687
1537100506a3
hex1f11ba9447

133441426503 has 48 divisors (see below), whose sum is σ = 240368983296. Its totient is φ = 69303237120.

The previous prime is 133441426501. The next prime is 133441426541. The reversal of 133441426503 is 305624144331.

133441426503 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 4 + 142 + 6 + 503 = 666.

It is not a de Polignac number, because 133441426503 - 21 = 133441426501 is a prime.

It is a super-2 number, since 2×1334414265032 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133441426501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3106176 + ... + 3148842.

It is an arithmetic number, because the mean of its divisors is an integer number (5007687152).

Almost surely, 2133441426503 is an apocalyptic number.

133441426503 is a deficient number, since it is larger than the sum of its proper divisors (106927556793).

133441426503 is a wasteful number, since it uses less digits than its factorization.

133441426503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47204 (or 47201 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 133441426503 in words is "one hundred thirty-three billion, four hundred forty-one million, four hundred twenty-six thousand, five hundred three".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 4513 13539 31591 40617 42667 49643 94773 128001 148929 284319 298669 347501 384003 446787 469337 896007 1042503 1408011 2688021 3127509 3285359 4224033 9856077 29568231 192556171 577668513 1347893197 1733005539 2118117881 4043679591 6354353643 12131038773 14826825167 19063060929 44480475501 133441426503