Search a number
-
+
125114500544 = 2611417161051
BaseRepresentation
bin111010010000101100…
…1111100010111000000
3102221221110000011021112
41310201121330113000
54022213303004134
6133250553542452
712016311464465
oct1644131742700
9387843004245
10125114500544
1149073968080
12202b8714a28
13ba4b995957
1460ac6d166c
1533c3ec81ce
hex1d2167c5c0

125114500544 has 112 divisors (see below), whose sum is σ = 281362781952. Its totient is φ = 54700800000.

The previous prime is 125114500541. The next prime is 125114500571. The reversal of 125114500544 is 445005411521.

It is a happy number.

It is a super-3 number, since 3×1251145005443 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 125114500544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125114500541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2018819 + ... + 2079869.

It is an arithmetic number, because the mean of its divisors is an integer number (2512167696).

Almost surely, 2125114500544 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 125114500544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140681390976).

125114500544 is an abundant number, since it is smaller than the sum of its proper divisors (156248281408).

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

125114500544 is a wasteful number, since it uses less digits than its factorization.

125114500544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61186 (or 61176 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 32.

The spelling of 125114500544 in words is "one hundred twenty-five billion, one hundred fourteen million, five hundred thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 71 82 88 142 164 176 284 328 352 451 568 656 704 781 902 1136 1312 1562 1804 2272 2624 2911 3124 3608 4544 5822 6248 7216 11644 12496 14432 23288 24992 28864 32021 46576 49984 61051 64042 93152 122102 128084 186304 244204 256168 488408 512336 671561 976816 1024672 1343122 1953632 2049344 2503091 2686244 3907264 4334621 5006182 5372488 8669242 10012364 10744976 17338484 20024728 21489952 27534001 34676968 40049456 42979904 47680831 55068002 69353936 80098912 95361662 110136004 138707872 160197824 177719461 190723324 220272008 277415744 355438922 381446648 440544016 710877844 762893296 881088032 1421755688 1525786592 1762176064 1954914071 2843511376 3051573184 3909828142 5687022752 7819656284 11374045504 15639312568 31278625136 62557250272 125114500544