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214215545344 = 2917241102121
BaseRepresentation
bin1100011110000000111…
…1011101001000000000
3202110221001100012200211
43013200033131020000
512002203134422334
6242224222323504
721322314043423
oct3074017351000
9673831305624
10214215545344
11829370aa889
1235624429594
131727b498c78
14a5220659ba
15588b482a64
hex31e03dd200

214215545344 has 80 divisors (see below), whose sum is σ = 455074830936. Its totient is φ = 100388044800.

The previous prime is 214215545339. The next prime is 214215545381. The reversal of 214215545344 is 443545512412.

It can be written as a sum of positive squares in 4 ways, for example, as 175125510400 + 39090034944 = 418480^2 + 197712^2 .

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 214215545297 and 214215545306.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2046604 + ... + 2148724.

Almost surely, 2214215545344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214215545344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227537415468).

214215545344 is an abundant number, since it is smaller than the sum of its proper divisors (240859285592).

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

214215545344 is a wasteful number, since it uses less digits than its factorization.

214215545344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102397 (or 102381 counting only the distinct ones).

The product of its digits is 384000, while the sum is 40.

The spelling of 214215545344 in words is "two hundred fourteen billion, two hundred fifteen million, five hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 241 256 272 482 512 544 964 1088 1928 2176 3856 4097 4352 7712 8194 8704 15424 16388 30848 32776 61696 65552 102121 123392 131104 204242 262208 408484 524416 816968 1048832 1633936 1736057 2097664 3267872 3472114 6535744 6944228 13071488 13888456 24611161 26142976 27776912 49222322 52285952 55553824 98444644 111107648 196889288 222215296 393778576 418389737 444430592 787557152 836779474 888861184 1575114304 1673558948 3150228608 3347117896 6300457216 6694235792 12600914432 13388471584 26776943168 53553886336 107107772672 214215545344