Search a number
-
+
143230462115004 = 2232114127129310343
BaseRepresentation
bin100000100100010001110000…
…110100001011110010111100
3200210010200212011122021112100
4200210101300310023302330
5122233141441300140004
61224343055501305100
742112026242144115
oct4044216064136274
9623120764567470
10143230462115004
1141701774942a80
1214093033b65190
1361bc7615a3994
142752569c4320c
151185b46661739
hex824470d0bcbc

143230462115004 has 432 divisors, whose sum is σ = 411980115036672. Its totient is φ = 41601646464000.

The previous prime is 143230462115003. The next prime is 143230462115033. The reversal of 143230462115004 is 400511264032341.

143230462115004 is a `hidden beast` number, since 1 + 4 + 3 + 23 + 0 + 4 + 621 + 1 + 5 + 0 + 0 + 4 = 666.

It is a super-2 number, since 2×1432304621150042 (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 143230462115004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (143230462115003) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13848052657 + ... + 13848062999.

It is an arithmetic number, because the mean of its divisors is an integer number (953657673696).

Almost surely, 2143230462115004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143230462115004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205990057518336).

143230462115004 is an abundant number, since it is smaller than the sum of its proper divisors (268749652921668).

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

143230462115004 is a wasteful number, since it uses less digits than its factorization.

143230462115004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10810 (or 10764 counting only the distinct ones).

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

The spelling of 143230462115004 in words is "one hundred forty-three trillion, two hundred thirty billion, four hundred sixty-two million, one hundred fifteen thousand, four".