Search a number
-
+
244044220433440 = 25572193161285437
BaseRepresentation
bin110111011111010011111001…
…000100011000010000100000
31012000002101210022210112121011
4313133103321010120100200
5223441410030412332230
62223012211145110304
7102255420200022100
oct6737237104302040
91160071708715534
10244044220433440
117083a633240149
12234554a3788394
13a62336abb5acb
144439b36341200
151d3323c016e2a
hexddf4f9118420

244044220433440 has 144 divisors (see below), whose sum is σ = 674160873146712. Its totient is φ = 83238768377856.

The previous prime is 244044220433417. The next prime is 244044220433441. The reversal of 244044220433440 is 44334022440442.

It can be written as a sum of positive squares in 4 ways, for example, as 194293825300624 + 49750395132816 = 13938932^2 + 7053396^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 244044220433393 and 244044220433402.

It is not an unprimeable number, because it can be changed into a prime (244044220433441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79129599 + ... + 82155838.

Almost surely, 2244044220433440 is an apocalyptic number.

244044220433440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

244044220433440 is an abundant number, since it is smaller than the sum of its proper divisors (430116652713272).

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

244044220433440 is a wasteful number, since it uses less digits than its factorization.

244044220433440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161285659 (or 161285644 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 40.

Adding to 244044220433440 its reverse (44334022440442), we get a palindrome (288378242873882).

The spelling of 244044220433440 in words is "two hundred forty-four trillion, forty-four billion, two hundred twenty million, four hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 193 196 224 245 280 386 392 490 560 772 784 965 980 1120 1351 1544 1568 1930 1960 2702 3088 3860 3920 5404 6176 6755 7720 7840 9457 10808 13510 15440 18914 21616 27020 30880 37828 43232 47285 54040 75656 94570 108080 151312 189140 216160 302624 378280 756560 1513120 161285437 322570874 645141748 806427185 1128998059 1290283496 1612854370 2257996118 2580566992 3225708740 4515992236 5161133984 5644990295 6451417480 7902986413 9031984472 11289980590 12902834960 15805972826 18063968944 22579961180 25805669920 31128089341 31611945652 36127937888 39514932065 45159922360 62256178682 63223891304 79029864130 90319844720 124512357364 126447782608 155640446705 158059728260 180639689440 217896625387 249024714728 252895565216 311280893410 316119456520 435793250774 498049429456 622561786820 632238913040 871586501548 996098858912 1089483126935 1245123573640 1264477826080 1525276377709 1743173003096 2178966253870 2490247147280 3050552755418 3486346006192 4357932507740 4980494294560 6101105510836 6972692012384 7626381888545 8715865015480 12202211021672 15252763777090 17431730030960 24404422043344 30505527554180 34863460061920 48808844086688 61011055108360 122022110216720 244044220433440