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244406660640 = 2535509180543
BaseRepresentation
bin1110001110011111000…
…1011010111000100000
3212100212010020202222020
43203213301122320200
513001021101120030
6304140122541440
723441424223632
oct3434761327040
9770763222866
10244406660640
119471a20863a
123b44b367880
131a08032732c
14bb87a1ca52
156556c5d510
hex38e7c5ae20

244406660640 has 48 divisors (see below), whose sum is σ = 769880982528. Its totient is φ = 65175109376.

The previous prime is 244406660609. The next prime is 244406660653. The reversal of 244406660640 is 46066604442.

244406660640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2444066606402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 244406660592 and 244406660601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 254589792 + ... + 254590751.

It is an arithmetic number, because the mean of its divisors is an integer number (16039187136).

Almost surely, 2244406660640 is an apocalyptic number.

244406660640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244406660640 is an abundant number, since it is smaller than the sum of its proper divisors (525474321888).

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

244406660640 is a wasteful number, since it uses less digits than its factorization.

244406660640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509180561 (or 509180553 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 244406660640 in words is "two hundred forty-four billion, four hundred six million, six hundred sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 509180543 1018361086 1527541629 2036722172 2545902715 3055083258 4073444344 5091805430 6110166516 7637708145 8146888688 10183610860 12220333032 15275416290 16293777376 20367221720 24440666064 30550832580 40734443440 48881332128 61101665160 81468886880 122203330320 244406660640