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214553404355412 = 223311009157155531
BaseRepresentation
bin110000110010001010011011…
…011100111011001101010100
31001010200002211122111001212210
4300302022123130323031110
5211110220333003333122
62040152250120313420
763122654241255033
oct6062123334731524
91033602748431783
10214553404355412
11623aa6513aa051
1220091a79012870
1392943b74bc9a5
143ada623bc871a
1519c105e27d40c
hexc3229b73b354

214553404355412 has 48 divisors (see below), whose sum is σ = 516825011533824. Its totient is φ = 69203915724000.

The previous prime is 214553404355359. The next prime is 214553404355417.

It is a happy number.

214553404355412 is nontrivially palindromic in base 10.

214553404355412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214553404355417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24823914 + ... + 32331617.

It is an arithmetic number, because the mean of its divisors is an integer number (10767187740288).

Almost surely, 2214553404355412 is an apocalyptic number.

It is an amenable number.

214553404355412 is an abundant number, since it is smaller than the sum of its proper divisors (302271607178412).

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

214553404355412 is a wasteful number, since it uses less digits than its factorization.

214553404355412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57165660 (or 57165658 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 48.

The spelling of 214553404355412 in words is "two hundred fourteen trillion, five hundred fifty-three billion, four hundred four million, three hundred fifty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 10091 20182 30273 40364 60546 121092 312821 625642 938463 1251284 1876926 3753852 57155531 114311062 171466593 228622124 342933186 685866372 1771821461 3543642922 5315464383 7087285844 10630928766 21261857532 576756463321 1153512926642 1730269389963 2307025853284 3460538779926 6921077559852 17879450362951 35758900725902 53638351088853 71517801451804 107276702177706 214553404355412