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12416302612040 = 2351947347600857
BaseRepresentation
bin1011010010101110010101…
…0011100111111001001000
31121221222122110212222021012
42310223211103213321020
53111412041432041130
642223545355503052
72421022360562465
oct264534523477110
947858573788235
1012416302612040
113a577a714a998
121486442757a88
136c0b106b7b12
1430cd48da666c
15167e9ab87995
hexb4ae54e7e48

12416302612040 has 64 divisors (see below), whose sum is σ = 30032714131200. Its totient is φ = 4605016140288.

The previous prime is 12416302612037. The next prime is 12416302612067. The reversal of 12416302612040 is 4021620361421.

It is a junction number, because it is equal to n+sod(n) for n = 12416302611988 and 12416302612006.

It is an unprimeable number.

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, 173764709 + ... + 173836148.

It is an arithmetic number, because the mean of its divisors is an integer number (469261158300).

Almost surely, 212416302612040 is an apocalyptic number.

12416302612040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12416302612040 is an abundant number, since it is smaller than the sum of its proper divisors (17616411519160).

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

12416302612040 is a wasteful number, since it uses less digits than its factorization.

12416302612040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347600934 (or 347600930 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

Adding to 12416302612040 its reverse (4021620361421), we get a palindrome (16437922973461).

The spelling of 12416302612040 in words is "twelve trillion, four hundred sixteen billion, three hundred two million, six hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 47 76 94 95 152 188 190 235 376 380 470 760 893 940 1786 1880 3572 4465 7144 8930 17860 35720 347600857 695201714 1390403428 1738004285 2780806856 3476008570 6604416283 6952017140 13208832566 13904034280 16337240279 26417665132 32674480558 33022081415 52835330264 65348961116 66044162830 81686201395 130697922232 132088325660 163372402790 264176651320 310407565301 326744805580 620815130602 653489611160 1241630261204 1552037826505 2483260522408 3104075653010 6208151306020 12416302612040