Search a number
-
+
128121609940 = 22523276115913
BaseRepresentation
bin111011101010010100…
…1001001111011010100
3110020201000102010212121
41313110221021323110
54044343113004230
6134505214425324
712153654500332
oct1672451117324
9406630363777
10128121609940
114a377343955
12209b7802244
13c10a99911c
1462b5c28b52
1534ecec377a
hex1dd4a49ed4

128121609940 has 72 divisors (see below), whose sum is σ = 281649345768. Its totient is φ = 48952949760.

The previous prime is 128121609937. The next prime is 128121609953. The reversal of 128121609940 is 49906121821.

It can be written as a sum of positive squares in 4 ways, for example, as 1946044996 + 126175564944 = 44114^2 + 355212^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8043424 + ... + 8059336.

It is an arithmetic number, because the mean of its divisors is an integer number (3911796469).

Almost surely, 2128121609940 is an apocalyptic number.

128121609940 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 128121609940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140824672884).

128121609940 is an abundant number, since it is smaller than the sum of its proper divisors (153527735828).

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

128121609940 is a wasteful number, since it uses less digits than its factorization.

128121609940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16729 (or 16704 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The spelling of 128121609940 in words is "one hundred twenty-eight billion, one hundred twenty-one million, six hundred nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 529 761 1058 1522 2116 2645 3044 3805 5290 7610 10580 15220 15913 17503 31826 35006 63652 70012 79565 87515 159130 175030 318260 350060 365999 402569 731998 805138 1463996 1610276 1829995 2012845 3659990 4025690 7319980 8051380 8417977 12109793 16835954 24219586 33671908 42089885 48439172 60548965 84179770 121097930 168359540 242195860 278525239 557050478 1114100956 1392626195 2785252390 5570504780 6406080497 12812160994 25624321988 32030402485 64060804970 128121609940