Search a number
-
+
1040425464420 = 223455312117697
BaseRepresentation
bin11110010001111100011…
…00001011001001100100
310200110112001001210110000
433020332030023021210
5114021242404330140
62113544224301300
7135111466346616
oct17107614131144
93613461053400
101040425464420
11371273061721
12149784471830
137715b5370a4
14384dd326db6
151c0e5791a30
hexf23e30b264

1040425464420 has 120 divisors (see below), whose sum is σ = 3325435626744. Its totient is φ = 272211922944.

The previous prime is 1040425464413. The next prime is 1040425464427. The reversal of 1040425464420 is 244645240401.

1040425464420 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 4 + 2 + 5 + 4 + 644 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1040425464413) and next prime (1040425464427).

It can be written as a sum of positive squares in 4 ways, for example, as 89367515136 + 951057949284 = 298944^2 + 975222^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1040425464427) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 5972989 + ... + 6144708.

Almost surely, 21040425464420 is an apocalyptic number.

1040425464420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1040425464420 is an abundant number, since it is smaller than the sum of its proper divisors (2285010162324).

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

1040425464420 is a wasteful number, since it uses less digits than its factorization.

1040425464420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12117771 (or 12117760 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

The spelling of 1040425464420 in words is "one trillion, forty billion, four hundred twenty-five million, four hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 81 90 106 108 135 159 162 180 212 265 270 318 324 405 477 530 540 636 795 810 954 1060 1431 1590 1620 1908 2385 2862 3180 4293 4770 5724 7155 8586 9540 14310 17172 21465 28620 42930 85860 12117697 24235394 36353091 48470788 60588485 72706182 109059273 121176970 145412364 181765455 218118546 242353940 327177819 363530910 436237092 545296365 642237941 654355638 727061820 981533457 1090592730 1284475882 1308711276 1635889095 1926713823 1963066914 2181185460 2568951764 3211189705 3271778190 3853427646 3926133828 4907667285 5780141469 6422379410 6543556380 7706855292 9633569115 9815334570 11560282938 12844758820 17340424407 19267138230 19630669140 23120565876 28900707345 34680848814 38534276460 52021273221 57801414690 69361697628 86702122035 104042546442 115602829380 173404244070 208085092884 260106366105 346808488140 520212732210 1040425464420