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3243422312240 = 2451147956913523
BaseRepresentation
bin101111001100101011000…
…010001110011100110000
3102111001211200021222021012
4233030223002032130300
5411120012102442430
610522001352250052
7453221012525435
oct57145302163460
912431750258235
103243422312240
111040589380840
1244471b6a0928
131a6b12c3a156
14b2da7cbdb8c
155957ed63695
hex2f32b08e730

3243422312240 has 160 divisors (see below), whose sum is σ = 8258771404800. Its totient is φ = 1174808668160.

The previous prime is 3243422312237. The next prime is 3243422312267. The reversal of 3243422312240 is 422132243423.

It is a super-3 number, since 3×32434223122403 (a number of 39 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3243422312197 and 3243422312206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 239838119 + ... + 239851641.

It is an arithmetic number, because the mean of its divisors is an integer number (51617321280).

Almost surely, 23243422312240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3243422312240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4129385702400).

3243422312240 is an abundant number, since it is smaller than the sum of its proper divisors (5015349092560).

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

3243422312240 is a wasteful number, since it uses less digits than its factorization.

3243422312240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14595 (or 14589 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 3243422312240 its reverse (422132243423), we get a palindrome (3665554555663).

The spelling of 3243422312240 in words is "three trillion, two hundred forty-three billion, four hundred twenty-two million, three hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 479 569 880 958 1138 1916 2276 2395 2845 3832 4552 4790 5269 5690 6259 7664 9104 9580 10538 11380 12518 13523 19160 21076 22760 25036 26345 27046 31295 38320 42152 45520 50072 52690 54092 62590 67615 84304 100144 105380 108184 125180 135230 148753 210760 216368 250360 270460 272551 297506 421520 500720 540920 545102 595012 743765 1081840 1090204 1190024 1362755 1487530 2180408 2380048 2725510 2975060 2998061 4360816 5451020 5950120 5996122 6477517 7694587 10902040 11900240 11992244 12955034 14990305 15389174 21804080 23984488 25910068 29980610 30778348 32387585 38472935 47968976 51820136 59961220 61556696 64775170 71252687 76945870 84640457 103640272 119922440 123113392 129550340 142505374 153891740 169280914 239844880 259100680 285010748 307783480 338561828 356263435 423202285 518201360 570021496 615566960 677123656 712526870 846404570 1140042992 1354247312 1425053740 1692809140 2850107480 3385618280 3685707173 5700214960 6771236560 7371414346 14742828692 18428535865 29485657384 36857071730 40542778903 58971314768 73714143460 81085557806 147428286920 162171115612 202713894515 294856573840 324342231224 405427789030 648684462448 810855578060 1621711156120 3243422312240