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4024105020432 = 243273992167679
BaseRepresentation
bin111010100011101111010…
…110011010110000010000
3112020200220210112121120200
4322203233112122300100
51011412331341123212
612320352012135200
7563506034205450
oct72435726326020
915220823477520
104024105020432
111311682415262
1254ba94767500
13232618aa5733
14dcaa68b5d60
156ea222e36dc
hex3a8ef59ac10

4024105020432 has 60 divisors (see below), whose sum is σ = 12870748600320. Its totient is φ = 1149744291264.

The previous prime is 4024105020371. The next prime is 4024105020487. The reversal of 4024105020432 is 2340205014204.

4024105020432 is a `hidden beast` number, since 40 + 2 + 410 + 5 + 0 + 204 + 3 + 2 = 666.

4024105020432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×40241050204323 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4024105020396 and 4024105020405.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1996082832 + ... + 1996084847.

It is an arithmetic number, because the mean of its divisors is an integer number (214512476672).

Almost surely, 24024105020432 is an apocalyptic number.

4024105020432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

4024105020432 is an abundant number, since it is smaller than the sum of its proper divisors (8846643579888).

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

4024105020432 is a wasteful number, since it uses less digits than its factorization.

4024105020432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992167700 (or 3992167691 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The spelling of 4024105020432 in words is "four trillion, twenty-four billion, one hundred five million, twenty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 3992167679 7984335358 11976503037 15968670716 23953006074 27945173753 31937341432 35929509111 47906012148 55890347506 63874682864 71859018222 83835521259 95812024296 111780695012 143718036444 167671042518 191624048592 223561390024 251506563777 287436072888 335342085036 447122780048 503013127554 574872145776 670684170072 1006026255108 1341368340144 2012052510216 4024105020432