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244401945930 = 23259740968449
BaseRepresentation
bin1110001110011101111…
…1011011110101001010
3212100211210101020121100
43203213133123311022
513001013344232210
6304135433522230
723441336156262
oct3434737336512
9770753336540
10244401945930
119471758838a
123b449873376
131a07c36636c
14bb871527a2
15655662b5c0
hex38e77dbd4a

244401945930 has 96 divisors (see below), whose sum is σ = 643575114000. Its totient is φ = 64343310336.

The previous prime is 244401945923. The next prime is 244401945937. The reversal of 244401945930 is 39549104442.

244401945930 is a `hidden beast` number, since 2 + 4 + 4 + 40 + 19 + 4 + 593 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (244401945923) and next prime (244401945937).

It can be written as a sum of positive squares in 8 ways, for example, as 93630492081 + 150771453849 = 305991^2 + 388293^2 .

It is a super-2 number, since 2×2444019459302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (244401945937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3536346 + ... + 3604794.

Almost surely, 2244401945930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244401945930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321787557000).

244401945930 is an abundant number, since it is smaller than the sum of its proper divisors (399173168070).

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

244401945930 is a wasteful number, since it uses less digits than its factorization.

244401945930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68968 (or 68965 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 244401945930 in words is "two hundred forty-four billion, four hundred one million, nine hundred forty-five thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 409 485 582 818 873 970 1227 1455 1746 2045 2454 2910 3681 4090 4365 6135 7362 8730 12270 18405 36810 39673 68449 79346 119019 136898 198365 205347 238038 342245 357057 396730 410694 595095 616041 684490 714114 1026735 1190190 1232082 1785285 2053470 3080205 3570570 6160410 6639553 13279106 19918659 27995641 33197765 39837318 55991282 59755977 66395530 83986923 99593295 119511954 139978205 167973846 199186590 251960769 279956410 298779885 419934615 503921538 597559770 839869230 1259803845 2519607690 2715577177 5431154354 8146731531 13577885885 16293463062 24440194593 27155771770 40733657655 48880389186 81467315310 122200972965 244401945930