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12245113040 = 245479833313
BaseRepresentation
bin10110110011101110…
…11001100011010000
31011121101100012020012
423121313121203100
5200034222104130
65343023134052
7612305513006
oct133167314320
934541305205
1012245113040
115214057736
122458a44328
131201b85a24
148423c4a76
154ba03b995
hex2d9dd98d0

12245113040 has 80 divisors (see below), whose sum is σ = 29113993728. Its totient is φ = 4787509248.

The previous prime is 12245113031. The next prime is 12245113109. The reversal of 12245113040 is 4031154221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 12245112997 and 12245113015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3694424 + ... + 3697736.

Almost surely, 212245113040 is an apocalyptic number.

12245113040 is a gapful number since it is divisible by the number (10) 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 12245113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14556996864).

12245113040 is an abundant number, since it is smaller than the sum of its proper divisors (16868880688).

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

12245113040 is a wasteful number, since it uses less digits than its factorization.

12245113040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4356 (or 4350 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 12245113040 its reverse (4031154221), we get a palindrome (16276267261).

The spelling of 12245113040 in words is "twelve billion, two hundred forty-five million, one hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 983 1880 1966 3313 3760 3932 4915 6626 7864 9830 13252 15728 16565 19660 26504 33130 39320 46201 53008 66260 78640 92402 132520 155711 184804 231005 265040 311422 369608 462010 622844 739216 778555 924020 1245688 1557110 1848040 2491376 3114220 3256679 3696080 6228440 6513358 12456880 13026716 16283395 26053432 32566790 52106864 65133580 130267160 153063913 260534320 306127826 612255652 765319565 1224511304 1530639130 2449022608 3061278260 6122556520 12245113040