Search a number
-
+
4134137338152 = 233257418574141
BaseRepresentation
bin111100001010001101110…
…010011001100100101000
3112122012221010202111112100
4330022031302121210220
51020213203124310102
612443110234413400
7604452530366613
oct74121562314450
915565833674470
104134137338152
111354306829128
12569282291260
1323cb02ba9543
141041440ad17a
1572812171a1c
hex3c28dc99928

4134137338152 has 24 divisors (see below), whose sum is σ = 11196621957690. Its totient is φ = 1378045779360.

The previous prime is 4134137338141. The next prime is 4134137338169. The reversal of 4134137338152 is 2518337314314.

4134137338152 is a `hidden beast` number, since 4 + 1 + 34 + 137 + 338 + 152 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3670956368676 + 463180969476 = 1915974^2 + 680574^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 4134137338098 and 4134137338107.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 28709286999 + ... + 28709287142.

Almost surely, 24134137338152 is an apocalyptic number.

It is an amenable number.

4134137338152 is an abundant number, since it is smaller than the sum of its proper divisors (7062484619538).

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

4134137338152 is a wasteful number, since it uses less digits than its factorization.

4134137338152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57418574153 (or 57418574146 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 4134137338152 in words is "four trillion, one hundred thirty-four billion, one hundred thirty-seven million, three hundred thirty-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 57418574141 114837148282 172255722423 229674296564 344511444846 459348593128 516767167269 689022889692 1033534334538 1378045779384 2067068669076 4134137338152