Search a number
-
+
125421024344 = 237114310345971
BaseRepresentation
bin111010011001110101…
…1001111010001011000
3102222201210210011212212
41310303223033101120
54023330240234334
6133341223454252
712030023055050
oct1646353172130
9388653704785
10125421024344
1149210997a30
12203832b7388
13ba9a338c95
1460db2c2560
1533e0d74ece
hex1d33acf458

125421024344 has 128 divisors (see below), whose sum is σ = 302929735680. Its totient is φ = 47264515200.

The previous prime is 125421024271. The next prime is 125421024359. The reversal of 125421024344 is 443420124521.

It is a self number, because there is not a number n which added to its sum of digits gives 125421024344.

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, 2705279 + ... + 2751249.

It is an arithmetic number, because the mean of its divisors is an integer number (2366638560).

Almost surely, 2125421024344 is an apocalyptic number.

125421024344 is a gapful number since it is divisible by the number (14) 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 125421024344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151464867840).

125421024344 is an abundant number, since it is smaller than the sum of its proper divisors (177508711336).

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

125421024344 is a wasteful number, since it uses less digits than its factorization.

125421024344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46141 (or 46137 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

Adding to 125421024344 its reverse (443420124521), we get a palindrome (568841148865).

The spelling of 125421024344 in words is "one hundred twenty-five billion, four hundred twenty-one million, twenty-four thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 43 44 56 77 86 88 103 154 172 206 301 308 344 412 473 602 616 721 824 946 1133 1204 1442 1892 2266 2408 2884 3311 3784 4429 4532 5768 6622 7931 8858 9064 13244 15862 17716 26488 31003 31724 35432 45971 48719 62006 63448 91942 97438 124012 183884 194876 248024 321797 341033 367768 389752 505681 643594 682066 1011362 1287188 1364132 1976753 2022724 2574376 2728264 3539767 3953506 4045448 4735013 7079534 7907012 9470026 13837271 14159068 15814024 18940052 21744283 27674542 28318136 33145091 37880104 43488566 52085143 55349084 66290182 86977132 104170286 110698168 132580364 152209981 173954264 203605559 208340572 265160728 304419962 364596001 407211118 416681144 608839924 729192002 814422236 1217679848 1425238913 1458384004 1628844472 2239661149 2850477826 2916768008 4479322298 5700955652 8958644596 11401911304 15677628043 17917289192 31355256086 62710512172 125421024344