Search a number
-
+
124941189120 = 2143511113409
BaseRepresentation
bin111010001011100010…
…0110100000000000000
3102221111100220000200220
41310113010310000000
54021334421022440
6133221443143040
712012105404406
oct1642704640000
9387440800626
10124941189120
1148a950536a0
122026a674a80
13ba21ac4307
146093699476
1533b3b918d0
hex1d17134000

124941189120 has 480 divisors, whose sum is σ = 441080519040. Its totient is φ = 29947330560.

The previous prime is 124941189119. The next prime is 124941189133. The reversal of 124941189120 is 21981149421.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×1249411891202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 305479476 + ... + 305479884.

It is an arithmetic number, because the mean of its divisors is an integer number (918917748).

Almost surely, 2124941189120 is an apocalyptic number.

124941189120 is a gapful number since it is divisible by the number (10) 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 124941189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220540259520).

124941189120 is an abundant number, since it is smaller than the sum of its proper divisors (316139329920).

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

124941189120 is a wasteful number, since it uses less digits than its factorization.

124941189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The spelling of 124941189120 in words is "one hundred twenty-four billion, nine hundred forty-one million, one hundred eighty-nine thousand, one hundred twenty".