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23340031411340 = 22572194212977417
BaseRepresentation
bin1010100111010010001100…
…10010000000010010001100
310001122021200220211012121102
411103221012102000102030
511024400341020130330
6121350132402522232
74626155510416400
oct523510622002214
9101567626735542
1023340031411340
1174894a7292936
12274b555366378
131003c56372287
145a9940abd100
152a71db3c7945
hex153a4648048c

23340031411340 has 144 divisors (see below), whose sum is σ = 60159802560480. Its totient is φ = 7563113026560.

The previous prime is 23340031411337. The next prime is 23340031411351. The reversal of 23340031411340 is 4311413004332.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6350312 + ... + 9327728.

It is an arithmetic number, because the mean of its divisors is an integer number (417776406670).

Almost surely, 223340031411340 is an apocalyptic number.

23340031411340 is a gapful number since it is divisible by the number (20) 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 23340031411340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30079901280240).

23340031411340 is an abundant number, since it is smaller than the sum of its proper divisors (36819771149140).

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

23340031411340 is a wasteful number, since it uses less digits than its factorization.

23340031411340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977880 (or 2977871 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 23340031411340 its reverse (4311413004332), we get a palindrome (27651444415672).

The spelling of 23340031411340 in words is "twenty-three trillion, three hundred forty billion, thirty-one million, four hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 49 70 76 95 98 133 140 190 196 245 266 380 421 490 532 665 842 931 980 1330 1684 1862 2105 2660 2947 3724 4210 4655 5894 7999 8420 9310 11788 14735 15998 18620 20629 29470 31996 39995 41258 55993 58940 79990 82516 103145 111986 159980 206290 223972 279965 391951 412580 559930 783902 1119860 1567804 1959755 2977417 3919510 5954834 7839020 11909668 14887085 20841919 29774170 41683838 56570923 59548340 83367676 104209595 113141846 145893433 208419190 226283692 282854615 291786866 395996461 416838380 565709230 583573732 729467165 791992922 1131418460 1253492557 1458934330 1583985844 1979982305 2506985114 2771975227 2917868660 3959964610 5013970228 5543950454 6267462785 7919929220 8774447899 11087900908 12534925570 13859876135 17548895798 23816358583 25069851140 27719752270 35097791596 43872239495 47632717166 55439504540 61421135293 87744478990 95265434332 119081792915 122842270586 166714510081 175488957980 238163585830 245684541172 307105676465 333429020162 476327171660 614211352930 666858040324 833572550405 1167001570567 1228422705860 1667145100810 2334003141134 3334290201620 4668006282268 5835007852835 11670015705670 23340031411340