Search a number
-
+
141112625472 = 26337131973647
BaseRepresentation
bin1000001101101011110…
…1111100100101000000
3111111020101022002222000
42003122331330211000
54302444313003342
6144454245144000
713123621345230
oct2033275744500
9444211262860
10141112625472
1154933442125
12234223bb000
13103cb243570
146b892d5cc0
153a0d74d44c
hex20daf7c940

141112625472 has 896 divisors, whose sum is σ = 545655398400. Its totient is φ = 34721021952.

The previous prime is 141112625461. The next prime is 141112625483. The reversal of 141112625472 is 274526211141.

141112625472 is a `hidden beast` number, since 1 + 4 + 11 + 12 + 625 + 4 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (141112625461) and next prime (141112625483).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 218102653 + ... + 218103299.

It is an arithmetic number, because the mean of its divisors is an integer number (608990400).

Almost surely, 2141112625472 is an apocalyptic number.

141112625472 is a gapful number since it is divisible by the number (12) 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 141112625472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272827699200).

141112625472 is an abundant number, since it is smaller than the sum of its proper divisors (404542772928).

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

141112625472 is a wasteful number, since it uses less digits than its factorization.

141112625472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 764 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The spelling of 141112625472 in words is "one hundred forty-one billion, one hundred twelve million, six hundred twenty-five thousand, four hundred seventy-two".