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12234013453040 = 2451459104815057
BaseRepresentation
bin1011001000000111010000…
…0001101010101011110000
31121022120010102200020012212
42302001310001222223300
53100420224420444130
642004121142311252
72401610154362441
oct262016401525360
947276112606185
1012234013453040
113997463721775
12145704a428528
136a987c725a22
143041b51612c8
1516337c4eee95
hexb207406aaf0

12234013453040 has 40 divisors (see below), whose sum is σ = 28463577150480. Its totient is φ = 4890251252736.

The previous prime is 12234013452979. The next prime is 12234013453099. The reversal of 12234013453040 is 4035431043221.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 12234013452988 and 12234013453006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52290809 + ... + 52524248.

It is an arithmetic number, because the mean of its divisors is an integer number (711589428762).

Almost surely, 212234013453040 is an apocalyptic number.

12234013453040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12234013453040 is an abundant number, since it is smaller than the sum of its proper divisors (16229563697440).

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

12234013453040 is a wasteful number, since it uses less digits than its factorization.

12234013453040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104816529 (or 104816523 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 12234013453040 its reverse (4035431043221), we get a palindrome (16269444496261).

The spelling of 12234013453040 in words is "twelve trillion, two hundred thirty-four billion, thirteen million, four hundred fifty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1459 2918 5836 7295 11672 14590 23344 29180 58360 116720 104815057 209630114 419260228 524075285 838520456 1048150570 1677040912 2096301140 4192602280 8385204560 152925168163 305850336326 611700672652 764625840815 1223401345304 1529251681630 2446802690608 3058503363260 6117006726520 12234013453040