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244444420140 = 2235131197157867
BaseRepresentation
bin1110001110101000000…
…1011101100000101100
3212100221202022011021020
43203222001131200230
513001110232421030
6304143552134140
723442363200634
oct3435201354054
9770852264236
10244444420140
1194739558938
123b45bb37350
131a0880b812b
14bb8ca4b6c4
15655a21b510
hex38ea05d82c

244444420140 has 96 divisors (see below), whose sum is σ = 693174392064. Its totient is φ = 64358810880.

The previous prime is 244444420133. The next prime is 244444420159. The reversal of 244444420140 is 41024444442.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1469487 + ... + 1627353.

It is an arithmetic number, because the mean of its divisors is an integer number (7220566584).

Almost surely, 2244444420140 is an apocalyptic number.

244444420140 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 244444420140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346587196032).

244444420140 is an abundant number, since it is smaller than the sum of its proper divisors (448729971924).

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

244444420140 is a wasteful number, since it uses less digits than its factorization.

244444420140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158207 (or 158205 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 33.

Adding to 244444420140 its reverse (41024444442), we get a palindrome (285468864582).

The spelling of 244444420140 in words is "two hundred forty-four billion, four hundred forty-four million, four hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 197 262 393 394 524 591 655 786 788 985 1182 1310 1572 1965 1970 2364 2620 2955 3930 3940 5910 7860 11820 25807 51614 77421 103228 129035 154842 157867 258070 309684 315734 387105 473601 516140 631468 774210 789335 947202 1548420 1578670 1894404 2368005 3157340 4736010 9472020 20680577 31099799 41361154 62041731 62199598 82722308 93299397 103402885 124083462 124399196 155498995 186598794 206805770 248166924 310208655 310997990 373197588 413611540 466496985 620417310 621995980 932993970 1240834620 1865987940 4074073669 8148147338 12222221007 16296294676 20370368345 24444442014 40740736690 48888884028 61111105035 81481473380 122222210070 244444420140