Search a number
-
+
4331245054104 = 2332293235787107
BaseRepresentation
bin111111000001110010010…
…100101010100010011000
3120100001200220200221012100
4333001302110222202120
51031430342213212404
613113425125043400
7624631201340613
oct77016224524230
916301626627170
104331245054104
11141a963a10531
1259b511256560
13255585c29a27
1410d8c1dc717a
15779eb72cd39
hex3f07252a898

4331245054104 has 96 divisors (see below), whose sum is σ = 11775620067120. Its totient is φ = 1438193925888.

The previous prime is 4331245054079. The next prime is 4331245054109. The reversal of 4331245054104 is 4014505421334.

4331245054104 is a `hidden beast` number, since 4 + 33 + 12 + 4 + 505 + 4 + 104 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4331245054109) 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 23 ways as a sum of consecutive naturals, for example, 49679719 + ... + 49766825.

Almost surely, 24331245054104 is an apocalyptic number.

It is an amenable number.

4331245054104 is an abundant number, since it is smaller than the sum of its proper divisors (7444375013016).

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

4331245054104 is a wasteful number, since it uses less digits than its factorization.

4331245054104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89769 (or 89762 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 4331245054104 in words is "four trillion, three hundred thirty-one billion, two hundred forty-five million, fifty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 293 586 879 1172 1758 2344 2357 2637 3516 4714 5274 7032 7071 9428 10548 14142 18856 21096 21213 28284 42426 56568 84852 87107 169704 174214 261321 348428 522642 690601 696856 783963 1045284 1381202 1567926 2071803 2090568 2762404 3135852 4143606 5524808 6215409 6271704 8287212 12430818 16574424 24861636 25522351 49723272 51044702 76567053 102089404 153134106 204178808 205311199 229701159 306268212 410622398 459402318 612536424 615933597 821244796 918804636 1231867194 1642489592 1837609272 1847800791 2463734388 3695601582 4927468776 7391203164 14782406328 60156181307 120312362614 180468543921 240624725228 360937087842 481249450456 541405631763 721874175684 1082811263526 1443748351368 2165622527052 4331245054104