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3231424411344 = 2432643145324019
BaseRepresentation
bin101111000001011111111…
…001110111011011010000
3102102220212112010110100100
4233001133321313123100
5410420424122130334
610512255035452400
7452314465203513
oct57013771673320
912386775113310
103231424411344
111036491923268
124423315b7100
131a595035bbcc
14b258a68ad7a
15590cb8a9c99
hex2f05fe776d0

3231424411344 has 120 divisors (see below), whose sum is σ = 9064175862560. Its totient is φ = 1074681374976.

The previous prime is 3231424411307. The next prime is 3231424411349. The reversal of 3231424411344 is 4431144241323.

3231424411344 is a `hidden beast` number, since 3 + 23 + 142 + 441 + 13 + 44 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3231424411299 and 3231424411308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3231424411349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134524167 + ... + 134548185.

Almost surely, 23231424411344 is an apocalyptic number.

It is an amenable number.

3231424411344 is an abundant number, since it is smaller than the sum of its proper divisors (5832751451216).

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

3231424411344 is a wasteful number, since it uses less digits than its factorization.

3231424411344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26129 (or 26120 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 3231424411344 its reverse (4431144241323), we get a palindrome (7662568652667).

The spelling of 3231424411344 in words is "three trillion, two hundred thirty-one billion, four hundred twenty-four million, four hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 643 1286 1453 1929 2572 2906 3858 4359 5144 5787 5812 7716 8718 10288 11574 11624 13077 15432 17436 23148 23248 24019 26154 30864 34872 46296 48038 52308 69744 72057 92592 96076 104616 144114 192152 209232 216171 288228 384304 432342 576456 864684 934279 1152912 1729368 1868558 2802837 3458736 3737116 5605674 7474232 8408511 11211348 14948464 15444217 16817022 22422696 30888434 33634044 34899607 44845392 46332651 61776868 67268088 69799214 92665302 104698821 123553736 134536176 138997953 139598428 185330604 209397642 247107472 277995906 279196856 314096463 370661208 418795284 555991812 558393712 628192926 741322416 837590568 1111983624 1256385852 1675181136 2223967248 2512771704 5025543408 22440447301 44880894602 67321341903 89761789204 134642683806 179523578408 201964025709 269285367612 359047156816 403928051418 538570735224 807856102836 1077141470448 1615712205672 3231424411344