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12341140454240 = 2551313145291913
BaseRepresentation
bin1011001110010110010101…
…0010101111101101100000
31121200210122022000202010222
42303211211102233231200
53104144123424013430
642125235221542212
72412421652021213
oct263454522575540
947623568022128
1012341140454240
113a28937065304
121473966b74968
136b69c2946c30
1430945895b77a
1516604c28d9e5
hexb39654afb60

12341140454240 has 96 divisors (see below), whose sum is σ = 31638394773216. Its totient is φ = 4521944494080.

The previous prime is 12341140454191. The next prime is 12341140454243. The reversal of 12341140454240 is 4245404114321.

It is a super-2 number, since 2×123411404542402 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12341140454240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12341140454243) 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, 22373477 + ... + 22918436.

It is an arithmetic number, because the mean of its divisors is an integer number (329566612221).

Almost surely, 212341140454240 is an apocalyptic number.

12341140454240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12341140454240 is an abundant number, since it is smaller than the sum of its proper divisors (19297254318976).

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

12341140454240 is a wasteful number, since it uses less digits than its factorization.

12341140454240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45292072 (or 45292064 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 12341140454240 its reverse (4245404114321), we get a palindrome (16586544568561).

The spelling of 12341140454240 in words is "twelve trillion, three hundred forty-one billion, one hundred forty million, four hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 131 160 208 260 262 416 520 524 655 1040 1048 1310 1703 2080 2096 2620 3406 4192 5240 6812 8515 10480 13624 17030 20960 27248 34060 54496 68120 136240 272480 45291913 90583826 181167652 226459565 362335304 452919130 588794869 724670608 905838260 1177589738 1449341216 1811676520 2355179476 2943974345 3623353040 4710358952 5887948690 5933240603 7246706080 9420717904 11775897380 11866481206 18841435808 23551794760 23732962412 29666203015 47103589520 47465924824 59332406030 77132127839 94207179040 94931849648 118664812060 154264255678 189863699296 237329624120 308528511356 385660639195 474659248240 617057022712 771321278390 949318496480 1234114045424 1542642556780 2468228090848 3085285113560 6170570227120 12341140454240