Search a number
-
+
1245322002344 = 2371713919348761
BaseRepresentation
bin10010000111110010111…
…110011011111110101000
311102001101122001101012212
4102013302332123332220
5130400404413033334
62352032032224252
7155654145236450
oct22076276337650
94361348041185
101245322002344
11440157894282
1218142799b088
139058312b584
14443b9856d60
15225d8a31ece
hex121f2f9bfa8

1245322002344 has 128 divisors (see below), whose sum is σ = 2860651987200. Its totient is φ = 496106864640.

The previous prime is 1245322002343. The next prime is 1245322002371. The reversal of 1245322002344 is 4432002235421.

It is a self number, because there is not a number n which added to its sum of digits gives 1245322002344.

It is not an unprimeable number, because it can be changed into a prime (1245322002341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25514924 + ... + 25563684.

It is an arithmetic number, because the mean of its divisors is an integer number (22348843650).

Almost surely, 21245322002344 is an apocalyptic number.

1245322002344 is a gapful number since it is divisible by the number (14) 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 1245322002344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430325993600).

1245322002344 is an abundant number, since it is smaller than the sum of its proper divisors (1615329984856).

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

1245322002344 is a wasteful number, since it uses less digits than its factorization.

1245322002344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49123 (or 49119 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 1245322002344 its reverse (4432002235421), we get a palindrome (5677324237765).

The spelling of 1245322002344 in words is "one trillion, two hundred forty-five billion, three hundred twenty-two million, two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 139 193 238 278 386 476 556 772 952 973 1112 1351 1544 1946 2363 2702 3281 3892 4726 5404 6562 7784 9452 10808 13124 16541 18904 22967 26248 26827 33082 45934 48761 53654 66164 91868 97522 107308 132328 183736 187789 195044 214616 341327 375578 390088 456059 682654 751156 828937 912118 1365308 1502312 1657874 1824236 2730616 3192413 3315748 3648472 5802559 6384826 6631496 6777779 9410873 11605118 12769652 13555558 18821746 23210236 25539304 27111116 37643492 46420472 47444453 54222232 65876111 75286984 94888906 115222243 131752222 159984841 189777812 230444486 263504444 319969682 379555624 460888972 527008888 639939364 806555701 921777944 1119893887 1279878728 1308111347 1613111402 2239787774 2616222694 3226222804 4479575548 5232445388 6452445608 8959151096 9156779429 10464890776 18313558858 22237892899 36627117716 44475785798 73254235432 88951571596 155665250293 177903143192 311330500586 622661001172 1245322002344