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34221444230412 = 22329191034380493
BaseRepresentation
bin1111100011111110011010…
…00001101110110100001100
311111011112112021202220211200
413301333031001232310030
513441141004210333122
6200441040415345500
710131263201323455
oct761771501566414
9144145467686750
1034221444230412
11a9a426213159a
123a08418522290
1316130b71c848a
148644807da12c
153e52a1b545ac
hex1f1fcd06ed0c

34221444230412 has 36 divisors (see below), whose sum is σ = 86598334957680. Its totient is φ = 11394735499872.

The previous prime is 34221444230411. The next prime is 34221444230443. The reversal of 34221444230412 is 21403244412243.

34221444230412 is a `hidden beast` number, since 3 + 4 + 2 + 2 + 1 + 4 + 4 + 4 + 230 + 412 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×342214442304122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34221444230411) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 517157163 + ... + 517223330.

It is an arithmetic number, because the mean of its divisors is an integer number (2405509304380).

Almost surely, 234221444230412 is an apocalyptic number.

It is an amenable number.

34221444230412 is an abundant number, since it is smaller than the sum of its proper divisors (52376890727268).

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

34221444230412 is a wasteful number, since it uses less digits than its factorization.

34221444230412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034381422 (or 1034381417 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 34221444230412 its reverse (21403244412243), we get a palindrome (55624688642655).

The spelling of 34221444230412 in words is "thirty-four trillion, two hundred twenty-one billion, four hundred forty-four million, two hundred thirty thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 919 1838 2757 3676 5514 8271 11028 16542 33084 1034380493 2068760986 3103141479 4137521972 6206282958 9309424437 12412565916 18618848874 37237697748 950595673067 1901191346134 2851787019201 3802382692268 5703574038402 8555361057603 11407148076804 17110722115206 34221444230412