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214113440010 = 23537233982469
BaseRepresentation
bin1100011101101000100…
…1111101000100001010
3202110122221012201111210
43013122021331010022
512002001020040020
6242210134033550
721316634132301
oct3073211750412
9673587181453
10214113440010
1182894500608
12355b61a88b6
1317263299102
14a512687438
1558825143e0
hex31da27d10a

214113440010 has 64 divisors (see below), whose sum is σ = 527992732800. Its totient is φ = 55529332992.

The previous prime is 214113439993. The next prime is 214113440017. The reversal of 214113440010 is 10044311412.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (214113440017) 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, 2555056 + ... + 2637524.

It is an arithmetic number, because the mean of its divisors is an integer number (8249886450).

Almost surely, 2214113440010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214113440010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263996366400).

214113440010 is an abundant number, since it is smaller than the sum of its proper divisors (313879292790).

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

214113440010 is a wasteful number, since it uses less digits than its factorization.

214113440010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84855.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 214113440010 its reverse (10044311412), we get a palindrome (224157751422).

The spelling of 214113440010 in words is "two hundred fourteen billion, one hundred thirteen million, four hundred forty thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 1110 2339 4678 7017 11695 14034 23390 35085 70170 82469 86543 164938 173086 247407 259629 412345 432715 494814 519258 824690 865430 1237035 1298145 2474070 2596290 3051353 6102706 9154059 15256765 18308118 30513530 45770295 91540590 192894991 385789982 578684973 964474955 1157369946 1928949910 2893424865 5786849730 7137114667 14274229334 21411344001 35685573335 42822688002 71371146670 107056720005 214113440010