Search a number
-
+
12244251706400 = 2552714091551791
BaseRepresentation
bin1011001000101101011001…
…0001100000010000100000
31121100112112221202101111202
42302023112101200100200
53101102211414101100
642012533115500332
72402421654163550
oct262132621402040
947315487671452
1012244251706400
1139a0837976a8a
1214590271576a8
136aa8218a1ccc
143048a6bc3160
1516377b2717d5
hexb22d6460420

12244251706400 has 144 divisors (see below), whose sum is σ = 34185729473280. Its totient is φ = 4195047014400.

The previous prime is 12244251706381. The next prime is 12244251706417. The reversal of 12244251706400 is 460715244221.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7114505 + ... + 8666295.

It is an arithmetic number, because the mean of its divisors is an integer number (237400899120).

Almost surely, 212244251706400 is an apocalyptic number.

12244251706400 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 12244251706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17092864736640).

12244251706400 is an abundant number, since it is smaller than the sum of its proper divisors (21941477766880).

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

12244251706400 is a wasteful number, since it uses less digits than its factorization.

12244251706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553227 (or 1553214 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The spelling of 12244251706400 in words is "twelve trillion, two hundred forty-four billion, two hundred fifty-one million, seven hundred six thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 140 160 175 200 224 280 350 400 560 700 800 1120 1400 1409 2800 2818 5600 5636 7045 9863 11272 14090 19726 22544 28180 35225 39452 45088 49315 56360 70450 78904 98630 112720 140900 157808 197260 225440 246575 281800 315616 394520 493150 563600 789040 986300 1127200 1551791 1578080 1972600 3103582 3945200 6207164 7758955 7890400 10862537 12414328 15517910 21725074 24828656 31035820 38794775 43450148 49657312 54312685 62071640 77589550 86900296 108625370 124143280 155179100 173800592 217250740 248286560 271563425 310358200 347601184 434501480 543126850 620716400 869002960 1086253700 1241432800 1738005920 2172507400 2186473519 4345014800 4372947038 8690029600 8745894076 10932367595 15305314633 17491788152 21864735190 30610629266 34983576304 43729470380 54661837975 61221258532 69967152608 76526573165 87458940760 109323675950 122442517064 153053146330 174917881520 218647351900 244885034128 306106292660 349835763040 382632865825 437294703800 489770068256 612212585320 765265731650 874589407600 1224425170640 1530531463300 1749178815200 2448850341280 3061062926600 6122125853200 12244251706400