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12341446500 = 2235314955219
BaseRepresentation
bin10110111111001101…
…11000011101100100
31011212002121102220010
423133212320131210
5200233402242000
65400344010220
7614555364405
oct133746703544
934762542803
1012341446500
115263474469
122485160970
131218b14686
148510dd9ac
154c3719d50
hex2df9b8764

12341446500 has 96 divisors (see below), whose sum is σ = 36180144000. Its totient is φ = 3268905600.

The previous prime is 12341446489. The next prime is 12341446501. The reversal of 12341446500 is 564414321.

It is a super-2 number, since 2×123414465002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (12341446501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195891 + ... + 251109.

It is an arithmetic number, because the mean of its divisors is an integer number (376876500).

Almost surely, 212341446500 is an apocalyptic number.

12341446500 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 12341446500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18090072000).

12341446500 is an abundant number, since it is smaller than the sum of its proper divisors (23838697500).

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

12341446500 is a wasteful number, since it uses less digits than its factorization.

12341446500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55390 (or 55378 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 12341446500 in words is "twelve billion, three hundred forty-one million, four hundred forty-six thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 149 150 250 298 300 375 447 500 596 745 750 894 1490 1500 1788 2235 2980 3725 4470 7450 8940 11175 14900 18625 22350 37250 44700 55219 55875 74500 110438 111750 165657 220876 223500 276095 331314 552190 662628 828285 1104380 1380475 1656570 2760950 3313140 4141425 5521900 6902375 8227631 8282850 13804750 16455262 16565700 20707125 24682893 27609500 32910524 41138155 41414250 49365786 82276310 82828500 98731572 123414465 164552620 205690775 246828930 411381550 493657860 617072325 822763100 1028453875 1234144650 2056907750 2468289300 3085361625 4113815500 6170723250 12341446500