Search a number
-
+
4132330142850 = 233527132192331191
BaseRepresentation
bin111100001000100010000…
…100011111110010000010
3112122001021012012110122000
4330020202010133302002
51020201003004032400
612442211040124430
7604356664443630
oct74104204376202
915561235173560
104132330142850
1113535696aa598
12568a59006716
1323c8a566a400
14104012082350
1572758696600
hex3c22211fc82

4132330142850 has 2304 divisors, whose sum is σ = 16061143449600. Its totient is φ = 760586112000.

The previous prime is 4132330142807. The next prime is 4132330142887. The reversal of 4132330142850 is 582410332314.

4132330142850 is a `hidden beast` number, since 4 + 1 + 32 + 330 + 14 + 285 + 0 = 666.

It is a super-2 number, since 2×41323301428502 (a number of 26 digits) contains 22 as substring.

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 1151 ways as a sum of consecutive naturals, for example, 21635236255 + ... + 21635236445.

It is an arithmetic number, because the mean of its divisors is an integer number (6970982400).

Almost surely, 24132330142850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4132330142850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8030571724800).

4132330142850 is an abundant number, since it is smaller than the sum of its proper divisors (11928813306750).

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

4132330142850 is a wasteful number, since it uses less digits than its factorization.

4132330142850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 4132330142850 in words is "four trillion, one hundred thirty-two billion, three hundred thirty million, one hundred forty-two thousand, eight hundred fifty".