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10021344444 = 22322321415653
BaseRepresentation
bin10010101010101000…
…11001010010111100
3221212101221001012100
421111110121102330
5131010431010234
64334224105100
7503224010436
oct112524312274
927771831170
1010021344444
114282873451
121b38165190
13c39251817
146b0d1b656
153d9bc7399
hex2555194bc

10021344444 has 72 divisors (see below), whose sum is σ = 26450135712. Its totient is φ = 3193153920.

The previous prime is 10021344427. The next prime is 10021344451. The reversal of 10021344444 is 44444312001.

10021344444 is a `hidden beast` number, since 1 + 0 + 0 + 213 + 4 + 4 + 444 = 666.

It is a congruent number.

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, 1769922 + ... + 1775574.

It is an arithmetic number, because the mean of its divisors is an integer number (367362996).

Almost surely, 210021344444 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 10021344444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13225067856).

10021344444 is an abundant number, since it is smaller than the sum of its proper divisors (16428791268).

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

10021344444 is a wasteful number, since it uses less digits than its factorization.

10021344444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7827 (or 7822 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10021344444 its reverse (44444312001), we get a palindrome (54465656445).

The spelling of 10021344444 in words is "ten billion, twenty-one million, three hundred forty-four thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 2141 4282 5653 6423 8564 11306 12846 16959 19269 22612 25692 33918 38538 49243 50877 67836 77076 98486 101754 130019 147729 196972 203508 260038 295458 390057 443187 520076 590916 780114 886374 1170171 1560228 1772748 2340342 4680684 12103073 24206146 36309219 48412292 72618438 108927657 145236876 217855314 278370679 435710628 556741358 835112037 1113482716 1670224074 2505336111 3340448148 5010672222 10021344444