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1244432240240 = 245729311246391
BaseRepresentation
bin10010000110111101111…
…100010000111001110000
311101222002121210210001212
4102012331330100321300
5130342044123141430
62351403445415252
7155623122341030
oct22067574207160
94358077723055
101244432240240
1143a8406148a2
12181219a0a528
13904709aab17
14443336038c0
1522585878b95
hex121bdf10e70

1244432240240 has 160 divisors (see below), whose sum is σ = 3431668930560. Its totient is φ = 410623718400.

The previous prime is 1244432240209. The next prime is 1244432240291. The reversal of 1244432240240 is 420422344421.

It is a super-2 number, since 2×12444322402402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1244432240197 and 1244432240206.

It is a congruent number.

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, 4927445 + ... + 5173835.

It is an arithmetic number, because the mean of its divisors is an integer number (21447930816).

Almost surely, 21244432240240 is an apocalyptic number.

1244432240240 is a gapful number since it is divisible by the number (10) 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 1244432240240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715834465280).

1244432240240 is an abundant number, since it is smaller than the sum of its proper divisors (2187236690320).

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

1244432240240 is a wasteful number, since it uses less digits than its factorization.

1244432240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246751 (or 246745 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 1244432240240 its reverse (420422344421), we get a palindrome (1664854584661).

The spelling of 1244432240240 in words is "one trillion, two hundred forty-four billion, four hundred thirty-two million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 35 40 56 58 70 80 112 116 140 145 203 232 280 290 311 406 464 560 580 622 812 1015 1160 1244 1555 1624 2030 2177 2320 2488 3110 3248 4060 4354 4976 6220 8120 8708 9019 10885 12440 16240 17416 18038 21770 24880 34832 36076 43540 45095 63133 72152 87080 90190 126266 144304 174160 180380 246391 252532 315665 360760 492782 505064 631330 721520 985564 1010128 1231955 1262660 1724737 1971128 2463910 2525320 3449474 3942256 4927820 5050640 6898948 7145339 8623685 9855640 13797896 14290678 17247370 19711280 27595792 28581356 34494740 35726695 50017373 57162712 68989480 71453390 76627601 100034746 114325424 137978960 142906780 153255202 200069492 250086865 285813560 306510404 383138005 400138984 500173730 536393207 571627120 613020808 766276010 800277968 1000347460 1072786414 1226041616 1532552020 2000694920 2145572828 2222200429 2681966035 3065104040 4001389840 4291145656 4444400858 5363932070 6130208080 8582291312 8888801716 10727864140 11111002145 15555403003 17777603432 21455728280 22222004290 31110806006 35555206864 42911456560 44444008580 62221612012 77777015015 88888017160 124443224024 155554030030 177776034320 248886448048 311108060060 622216120120 1244432240240