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244087820640 = 25325331512101
BaseRepresentation
bin1110001101010011000…
…1001001000101100000
3212100000220022000201100
43203110301021011200
512444342440230030
6304044333034400
723430503146146
oct3432461110540
9770026260640
10244087820640
1194576236404
123b380625a00
131a02c261101
14bb57543596
156538c7c360
hex38d4c49160

244087820640 has 144 divisors (see below), whose sum is σ = 835467783696. Its totient is φ = 64893312000.

The previous prime is 244087820623. The next prime is 244087820651. The reversal of 244087820640 is 46028780442.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 220590 + ... + 732690.

It is an arithmetic number, because the mean of its divisors is an integer number (5801859609).

Almost surely, 2244087820640 is an apocalyptic number.

244087820640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244087820640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417733891848).

244087820640 is an abundant number, since it is smaller than the sum of its proper divisors (591379963056).

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

244087820640 is a wasteful number, since it uses less digits than its factorization.

244087820640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512453 (or 512442 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The spelling of 244087820640 in words is "two hundred forty-four billion, eighty-seven million, eight hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 331 360 480 662 720 993 1324 1440 1655 1986 2648 2979 3310 3972 4965 5296 5958 6620 7944 9930 10592 11916 13240 14895 15888 19860 23832 26480 29790 31776 39720 47664 52960 59580 79440 95328 119160 158880 238320 476640 512101 1024202 1536303 2048404 2560505 3072606 4096808 4608909 5121010 6145212 7681515 8193616 9217818 10242020 12290424 15363030 16387232 18435636 20484040 23044545 24580848 30726060 36871272 40968080 46089090 49161696 61452120 73742544 81936160 92178180 122904240 147485088 169505431 184356360 245808480 339010862 368712720 508516293 678021724 737425440 847527155 1017032586 1356043448 1525548879 1695054310 2034065172 2542581465 2712086896 3051097758 3390108620 4068130344 5085162930 5424173792 6102195516 6780217240 7627744395 8136260688 10170325860 12204391032 13560434480 15255488790 16272521376 20340651720 24408782064 27120868960 30510977580 40681303440 48817564128 61021955160 81362606880 122043910320 244087820640