Search a number
-
+
3336801431040 = 2932571117314383
BaseRepresentation
bin110000100011101000110…
…111010010111000000000
3102210222212102120200221200
4300203220313102320000
5414132232131243130
611032523323021200
7463035023120340
oct60435067227000
912728772520850
103336801431040
1110771474658a0
1245a84006a800
131b2874b539bc
14b77058b0d20
155bbe7bc0760
hex308e8dd2e00

3336801431040 has 3840 divisors, whose sum is σ = 16307820232704. Its totient is φ = 609406156800.

The previous prime is 3336801431039. The next prime is 3336801431053. The reversal of 3336801431040 is 401341086333.

3336801431040 is a `hidden beast` number, since 3 + 336 + 8 + 0 + 1 + 4 + 310 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×33368014310402 (a number of 26 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3336801430986 and 3336801431004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 40202426839 + ... + 40202426921.

Almost surely, 23336801431040 is an apocalyptic number.

3336801431040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3336801431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8153910116352).

3336801431040 is an abundant number, since it is smaller than the sum of its proper divisors (12971018801664).

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

3336801431040 is a wasteful number, since it uses less digits than its factorization.

3336801431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 3336801431040 in words is "three trillion, three hundred thirty-six billion, eight hundred one million, four hundred thirty-one thousand, forty".