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4244314102245 = 3257157293929201
BaseRepresentation
bin111101110000110100110…
…101011001100111100101
3120000202022112210000122200
4331300310311121213211
51024014323402232440
613005451101045113
7615433026420360
oct75606465314745
916022275700580
104244314102245
111397004730768
125866b0256799
1324a310bb6489
141095d69470d7
157560ea33c30
hex3dc34d599e5

4244314102245 has 96 divisors (see below), whose sum is σ = 8464505736960. Its totient is φ = 1927177574400.

The previous prime is 4244314102243. The next prime is 4244314102297. The reversal of 4244314102245 is 5422014134424.

4244314102245 is a `hidden beast` number, since 424 + 4 + 3 + 1 + 4 + 1 + 0 + 224 + 5 = 666.

It is not a de Polignac number, because 4244314102245 - 21 = 4244314102243 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4244314102241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145333645 + ... + 145362845.

It is an arithmetic number, because the mean of its divisors is an integer number (88171934760).

Almost surely, 24244314102245 is an apocalyptic number.

4244314102245 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4244314102245 is a deficient number, since it is larger than the sum of its proper divisors (4220191634715).

4244314102245 is a wasteful number, since it uses less digits than its factorization.

4244314102245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32315 (or 32312 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 4244314102245 its reverse (5422014134424), we get a palindrome (9666328236669).

The spelling of 4244314102245 in words is "four trillion, two hundred forty-four billion, three hundred fourteen million, one hundred two thousand, two hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 157 315 471 785 1099 1413 2355 2939 3297 5495 7065 8817 9891 14695 16485 20573 26451 29201 44085 49455 61719 87603 102865 132255 146005 185157 204407 262809 308595 438015 461423 613221 925785 1022035 1314045 1384269 1839663 2307115 3066105 3229961 4152807 4584557 6921345 9198315 9689883 13753671 16149805 20764035 22922785 29069649 32091899 41261013 48449415 68768355 85821739 96275697 145348245 160459495 206305065 257465217 288827091 429108695 481378485 600752173 772395651 1287326085 1444135455 1802256519 3003760865 3861978255 5406769557 9011282595 13474013023 27033847785 40422039069 67370065115 94318091161 121266117207 202110195345 282954273483 471590455805 606330586035 848862820449 1414771367415 4244314102245