Search a number
-
+
13141878750 = 2335471113389
BaseRepresentation
bin11000011110101000…
…10010011111011110
31020220212202121112000
430033110102133132
5203403310110000
610012020023130
7643445061210
oct141724223736
936825677460
1013141878750
115634280020
122669231aa6
1313158b9220
148c953c5b0
1551db2a000
hex30f5127de

13141878750 has 640 divisors, whose sum is σ = 49124275200. Its totient is φ = 2514240000.

The previous prime is 13141878721. The next prime is 13141878767. The reversal of 13141878750 is 5787814131.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 13141878696 and 13141878705.

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 33783556 + ... + 33783944.

It is an arithmetic number, because the mean of its divisors is an integer number (76756680).

Almost surely, 213141878750 is an apocalyptic number.

13141878750 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13141878750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24562137600).

13141878750 is an abundant number, since it is smaller than the sum of its proper divisors (35982396450).

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

13141878750 is a wasteful number, since it uses less digits than its factorization.

13141878750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 45.

The spelling of 13141878750 in words is "thirteen billion, one hundred forty-one million, eight hundred seventy-eight thousand, seven hundred fifty".