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4404434022324 = 2233742157138197
BaseRepresentation
bin100000000010111110010…
…1110011010111110110100
3120121001121120122202002000
41000011330232122332310
51034130240102203244
613211211414415300
7633131660322660
oct100057456327664
916531546582060
104404434022324
111448a01200626
125b1738061530
1325c44ac4c80b
141132663558a0
1579881cad169
hex4017cb9afb4

4404434022324 has 96 divisors (see below), whose sum is σ = 13050578876160. Its totient is φ = 1258370764416.

The previous prime is 4404434022311. The next prime is 4404434022341. The reversal of 4404434022324 is 4232204344044.

4404434022324 is a `hidden beast` number, since 4 + 40 + 44 + 340 + 2 + 232 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31801594 + ... + 31939790.

It is an arithmetic number, because the mean of its divisors is an integer number (135943529960).

Almost surely, 24404434022324 is an apocalyptic number.

It is an amenable number.

4404434022324 is an abundant number, since it is smaller than the sum of its proper divisors (8646144853836).

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

4404434022324 is a wasteful number, since it uses less digits than its factorization.

4404434022324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180374 (or 180366 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 4404434022324 its reverse (4232204344044), we get a palindrome (8636638366368).

The spelling of 4404434022324 in words is "four trillion, four hundred four billion, four hundred thirty-four million, twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 42157 84314 126471 138197 168628 252942 276394 295099 379413 414591 505884 552788 590198 758826 829182 885297 967379 1138239 1180396 1243773 1517652 1658364 1770594 1934758 2276478 2487546 2655891 2902137 3541188 3731319 3869516 4552956 4975092 5311782 5804274 7462638 7967673 8706411 10623564 11608548 14925276 15935346 17412822 26119233 31870692 34825644 52238466 104476932 5825970929 11651941858 17477912787 23303883716 34955825574 40781796503 52433738361 69911651148 81563593006 104867476722 122345389509 157301215083 163127186012 209734953444 244690779018 314602430166 367036168527 489381558036 629204860332 734072337054 1101108505581 1468144674108 2202217011162 4404434022324