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125414274304 = 2811233191143
BaseRepresentation
bin111010011001101000…
…1011111010100000000
3102222201100002020120101
41310303101133110000
54023322023234204
6133340423052144
712026611512454
oct1646321372400
9388640066511
10125414274304
11492080a7590
1220380ba1054
13ba98b14787
1460da446664
1533e048eea4
hex1d3345f500

125414274304 has 72 divisors (see below), whose sum is σ = 274270231872. Its totient is φ = 56761528320.

The previous prime is 125414274277. The next prime is 125414274313. The reversal of 125414274304 is 403472414521.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 560557 + ... + 751699.

It is an arithmetic number, because the mean of its divisors is an integer number (3809308776).

Almost surely, 2125414274304 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 125414274304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137135115936).

125414274304 is an abundant number, since it is smaller than the sum of its proper divisors (148855957568).

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

125414274304 is a wasteful number, since it uses less digits than its factorization.

125414274304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191403 (or 191389 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 37.

Adding to 125414274304 its reverse (403472414521), we get a palindrome (528886688825).

The spelling of 125414274304 in words is "one hundred twenty-five billion, four hundred fourteen million, two hundred seventy-four thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 233 256 352 466 704 932 1408 1864 2563 2816 3728 5126 7456 10252 14912 20504 29824 41008 59648 82016 164032 191143 328064 382286 656128 764572 1529144 2102573 3058288 4205146 6116576 8410292 12233152 16820584 24466304 33641168 44536319 48932608 67282336 89072638 134564672 178145276 269129344 356290552 489899509 538258688 712581104 979799018 1425162208 1959598036 2850324416 3919196072 5700648832 7838392144 11401297664 15676784288 31353568576 62707137152 125414274304