Search a number
-
+
124214705272 = 237107109119001
BaseRepresentation
bin111001110101111000…
…1011111110001111000
3102212121201212211012201
41303223301133301320
54013342431032042
6133021412115544
711655104400610
oct1635361376170
9385551784181
10124214705272
1148751a65619
12200a7305bb4
13b937441508
146024dc9a40
15336eedc1b7
hex1cebc5fc78

124214705272 has 64 divisors (see below), whose sum is σ = 268922384640. Its totient is φ = 52686240000.

The previous prime is 124214705269. The next prime is 124214705291. The reversal of 124214705272 is 272507412421.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6527772 + ... + 6546772.

It is an arithmetic number, because the mean of its divisors is an integer number (4201912260).

Almost surely, 2124214705272 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 124214705272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134461192320).

124214705272 is an abundant number, since it is smaller than the sum of its proper divisors (144707679368).

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

124214705272 is a wasteful number, since it uses less digits than its factorization.

124214705272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20212 (or 20208 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 37.

The spelling of 124214705272 in words is "one hundred twenty-four billion, two hundred fourteen million, seven hundred five thousand, two hundred seventy-two".

Divisors: 1 2 4 7 8 14 28 56 107 214 428 749 856 1091 1498 2182 2996 4364 5992 7637 8728 15274 19001 30548 38002 61096 76004 116737 133007 152008 233474 266014 466948 532028 817159 933896 1064056 1634318 2033107 3268636 4066214 6537272 8132428 14231749 16264856 20730091 28463498 41460182 56926996 82920364 113853992 145110637 165840728 290221274 580442548 1160885096 2218119737 4436239474 8872478948 15526838159 17744957896 31053676318 62107352636 124214705272