Search a number
-
+
4045907014920 = 233451248736733
BaseRepresentation
bin111010111000000010110…
…110011011010100001000
3112022210012012211200120000
4322320002312123110020
51012242004143434140
612334355232403000
7565210230124551
oct72700266332410
915283165750500
104045907014920
11131a950040421
1255415a0a6460
132346b18bb1a4
14ddb74233328
157039b35da30
hex3ae02d9b508

4045907014920 has 80 divisors (see below), whose sum is σ = 13598743033260. Its totient is φ = 1078908536448.

The previous prime is 4045907014847. The next prime is 4045907014921. The reversal of 4045907014920 is 294107095404.

4045907014920 is a `hidden beast` number, since 4 + 0 + 4 + 5 + 90 + 70 + 1 + 492 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3679099937604 + 366807077316 = 1918098^2 + 605646^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4045907014921) 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 19 ways as a sum of consecutive naturals, for example, 624365127 + ... + 624371606.

Almost surely, 24045907014920 is an apocalyptic number.

4045907014920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4045907014920 is an abundant number, since it is smaller than the sum of its proper divisors (9552836018340).

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

4045907014920 is a wasteful number, since it uses less digits than its factorization.

4045907014920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248736756 (or 1248736743 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 4045907014920 in words is "four trillion, forty-five billion, nine hundred seven million, fourteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 1248736733 2497473466 3746210199 4994946932 6243683665 7492420398 9989893864 11238630597 12487367330 14984840796 18731050995 22477261194 24974734660 29969681592 33715891791 37462101990 44954522388 49949469320 56193152985 67431783582 74924203980 89909044776 101147675373 112386305970 134863567164 149848407960 168579458955 202295350746 224772611940 269727134328 337158917910 404590701492 449545223880 505738376865 674317835820 809181402984 1011476753730 1348635671640 2022953507460 4045907014920