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125335141400 = 23527383233747
BaseRepresentation
bin111010010111010001…
…1100111110000011000
3102222111211011212122002
41310232203213300120
54023141244011100
6133324515020132
712024631060340
oct1645643476030
9388454155562
10125335141400
1149177468897
122035a59a648
13ba855c8c81
1460cdb27d20
1533d855d2d5
hex1d2e8e7c18

125335141400 has 96 divisors (see below), whose sum is σ = 333904343040. Its totient is φ = 42859666560.

The previous prime is 125335141397. The next prime is 125335141411. The reversal of 125335141400 is 4141533521.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419327 + ... + 653073.

It is an arithmetic number, because the mean of its divisors is an integer number (3478170240).

Almost surely, 2125335141400 is an apocalyptic number.

125335141400 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 125335141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166952171520).

125335141400 is an abundant number, since it is smaller than the sum of its proper divisors (208569201640).

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

125335141400 is a wasteful number, since it uses less digits than its factorization.

125335141400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234153 (or 234144 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 125335141400 its reverse (4141533521), we get a palindrome (129476674921).

The spelling of 125335141400 in words is "one hundred twenty-five billion, three hundred thirty-five million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 383 700 766 1400 1532 1915 2681 3064 3830 5362 7660 9575 10724 13405 15320 19150 21448 26810 38300 53620 67025 76600 107240 134050 233747 268100 467494 536200 934988 1168735 1636229 1869976 2337470 3272458 4674940 5843675 6544916 8181145 9349880 11687350 13089832 16362290 23374700 32724580 40905725 46749400 65449160 81811450 89525101 163622900 179050202 327245800 358100404 447625505 626675707 716200808 895251010 1253351414 1790502020 2238127525 2506702828 3133378535 3581004040 4476255050 5013405656 6266757070 8952510100 12533514140 15666892675 17905020200 25067028280 31333785350 62667570700 125335141400