Search a number
-
+
4054325233440 = 253512776614339
BaseRepresentation
bin111010111111111000100…
…111011000011100100000
3112100120220220012111102010
4322333320213120130200
51012411224224432230
612342310432152520
7565625646605646
oct72777047303440
915316826174363
104054325233440
11132347a997609
12555909398740
13235423981191
14100332285196
15706e041a9b0
hex3aff89d8720

4054325233440 has 96 divisors (see below), whose sum is σ = 12781127298240. Its totient is φ = 1080306596864.

The previous prime is 4054325233403. The next prime is 4054325233447. The reversal of 4054325233440 is 443325234504.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (4054325233447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2694210 + ... + 3920129.

It is an arithmetic number, because the mean of its divisors is an integer number (133136742690).

Almost surely, 24054325233440 is an apocalyptic number.

4054325233440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4054325233440 is an abundant number, since it is smaller than the sum of its proper divisors (8726802064800).

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

4054325233440 is a wasteful number, since it uses less digits than its factorization.

4054325233440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6615634 (or 6615626 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 39.

The spelling of 4054325233440 in words is "four trillion, fifty-four billion, three hundred twenty-five million, two hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1277 2554 3831 5108 6385 7662 10216 12770 15324 19155 20432 25540 30648 38310 40864 51080 61296 76620 102160 122592 153240 204320 306480 612960 6614339 13228678 19843017 26457356 33071695 39686034 52914712 66143390 79372068 99215085 105829424 132286780 158744136 198430170 211658848 264573560 317488272 396860340 529147120 634976544 793720680 1058294240 1587441360 3174882720 8446510903 16893021806 25339532709 33786043612 42232554515 50679065418 67572087224 84465109030 101358130836 126697663545 135144174448 168930218060 202716261672 253395327090 270288348896 337860436120 405432523344 506790654180 675720872240 810865046688 1013581308360 1351441744480 2027162616720 4054325233440