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3141112415340 = 223597219129131
BaseRepresentation
bin101101101101011000111…
…000111100010001101100
3102010021202112011201011110
4231231120320330101230
5402430444234242330
610403001312152020
7442636456665564
oct55553070742154
912107675151143
103141112415340
111001158084a39
12428928238610
1319a2899cb913
14ac060175da4
1556a92e4edb0
hex2db58e3c46c

3141112415340 has 144 divisors (see below), whose sum is σ = 8933554796544. Its totient is φ = 824626022400.

The previous prime is 3141112415297. The next prime is 3141112415347. The reversal of 3141112415340 is 435142111413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3141112415298 and 3141112415307.

It is not an unprimeable number, because it can be changed into a prime (3141112415347) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107812575 + ... + 107841705.

It is an arithmetic number, because the mean of its divisors is an integer number (62038574976).

Almost surely, 23141112415340 is an apocalyptic number.

3141112415340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3141112415340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466777398272).

3141112415340 is an abundant number, since it is smaller than the sum of its proper divisors (5792442381204).

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

3141112415340 is a wasteful number, since it uses less digits than its factorization.

3141112415340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29528 (or 29429 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 3141112415340 its reverse (435142111413), we get a palindrome (3576254526753).

The spelling of 3141112415340 in words is "three trillion, one hundred forty-one billion, one hundred twelve million, four hundred fifteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 97 191 194 291 382 388 485 573 582 764 955 970 1146 1164 1455 1910 1940 2292 2865 2910 3820 5730 5820 9409 11460 18527 18818 28227 29131 37054 37636 47045 55581 56454 58262 74108 87393 92635 94090 111162 112908 116524 141135 145655 174786 185270 188180 222324 277905 282270 291310 349572 370540 436965 555810 564540 582620 873930 1111620 1747860 1797119 2825707 3594238 5391357 5564021 5651414 7188476 8477121 8985595 10782714 11128042 11302828 14128535 16692063 16954242 17971190 21565428 22256084 26956785 27820105 28257070 33384126 33908484 35942380 42385605 53913570 55640210 56514140 66768252 83460315 84771210 107827140 111280420 166920630 169542420 274093579 333841260 539710037 548187158 822280737 1079420074 1096374316 1370467895 1619130111 1644561474 2158840148 2698550185 2740935790 3238260222 3289122948 4111403685 5397100370 5481871580 6476520444 8095650555 8222807370 10794200740 16191301110 16445614740 32382602220 52351873589 104703747178 157055620767 209407494356 261759367945 314111241534 523518735890 628222483068 785278103835 1047037471780 1570556207670 3141112415340