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244544250440 = 235729230913043
BaseRepresentation
bin1110001110111111111…
…0010010001001001000
3212101012201011001200202
43203233332102021020
513001311312003230
6304201515551332
723445014555240
oct3435776221110
9771181131622
10244544250440
119478a943916
123b48945b548
131a0a299c609
14bb9bdd6b20
156563d8aa45
hex38eff92248

244544250440 has 128 divisors (see below), whose sum is σ = 650843424000. Its totient is φ = 80911315968.

The previous prime is 244544250427. The next prime is 244544250451. The reversal of 244544250440 is 44052445442.

It is a super-2 number, since 2×2445442504402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 244544250394 and 244544250403.

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, 18742559 + ... + 18755601.

It is an arithmetic number, because the mean of its divisors is an integer number (5084714250).

Almost surely, 2244544250440 is an apocalyptic number.

244544250440 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 244544250440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325421712000).

244544250440 is an abundant number, since it is smaller than the sum of its proper divisors (406299173560).

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

244544250440 is a wasteful number, since it uses less digits than its factorization.

244544250440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15399 (or 15395 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 38.

Adding to 244544250440 its reverse (44052445442), we get a palindrome (288596695882).

The spelling of 244544250440 in words is "two hundred forty-four billion, five hundred forty-four million, two hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 580 812 1015 1160 1624 2030 2309 4060 4618 8120 9236 11545 13043 16163 18472 23090 26086 32326 46180 52172 64652 65215 66961 80815 91301 92360 104344 129304 130430 133922 161630 182602 260860 267844 323260 334805 365204 378247 456505 468727 521720 535688 646520 669610 730408 756494 913010 937454 1339220 1512988 1826020 1874908 1891235 2343635 2647729 2678440 3025976 3652040 3749816 3782470 4687270 5295458 7564940 9374540 10590916 13238645 15129880 18749080 21181832 26477290 30116287 52954580 60232574 105909160 120465148 150581435 210814009 240930296 301162870 421628018 602325740 843256036 873372323 1054070045 1204651480 1686512072 1746744646 2108140090 3493489292 4216280180 4366861615 6113606261 6986978584 8432560360 8733723230 12227212522 17467446460 24454425044 30568031305 34934892920 48908850088 61136062610 122272125220 244544250440