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214401036044100 = 223522018335409509
BaseRepresentation
bin110000101111111100100001…
…100101111100011101000100
31001010010112112211121212122110
4300233330201211330131010
5211100221310211402400
62035554250510501020
763105651354061053
oct6057744145743504
91033115484555573
10214401036044100
1162350a72472624
1220068435204770
139282c1439b3b9
143ad30cbaa639a
1519bc0e27d6e50
hexc2ff2197c744

214401036044100 has 72 divisors (see below), whose sum is σ = 620364417261120. Its totient is φ = 57170775236480.

The previous prime is 214401036044093. The next prime is 214401036044161. The reversal of 214401036044100 is 1440630104412.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11649855 + ... + 23759654.

It is an arithmetic number, because the mean of its divisors is an integer number (8616172461960).

Almost surely, 2214401036044100 is an apocalyptic number.

214401036044100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214401036044100 is an abundant number, since it is smaller than the sum of its proper divisors (405963381217020).

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

214401036044100 is a wasteful number, since it uses less digits than its factorization.

214401036044100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35429709 (or 35429702 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 214401036044100 its reverse (1440630104412), we get a palindrome (215841666148512).

The spelling of 214401036044100 in words is "two hundred fourteen trillion, four hundred one billion, thirty-six million, forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 20183 40366 60549 80732 100915 121098 201830 242196 302745 403660 504575 605490 1009150 1210980 1513725 2018300 3027450 6054900 35409509 70819018 106228527 141638036 177047545 212457054 354095090 424914108 531142635 708190180 885237725 1062285270 1770475450 2124570540 2655713175 3540950900 5311426350 10622852700 714670120147 1429340240294 2144010360441 2858680480588 3573350600735 4288020720882 7146701201470 8576041441764 10720051802205 14293402402940 17866753003675 21440103604410 35733506007350 42880207208820 53600259011025 71467012014700 107200518022050 214401036044100