Search a number
-
+
2444430300102 = 2327411699278503
BaseRepresentation
bin100011100100100011011…
…001100101001111000110
322122200111112212022200100
4203210203121211033012
5310022143124100402
65110542240424530
7341414155503510
oct43444331451706
98580445768610
102444430300102
1186274a1a626a
123358b6918146
1314967ca666cb
148644d784bb0
15438ba2ce71c
hex239236653c6

2444430300102 has 96 divisors (see below), whose sum is σ = 6204177907200. Its totient is φ = 680970810240.

The previous prime is 2444430300097. The next prime is 2444430300139. The reversal of 2444430300102 is 2010030344442.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8637783 + ... + 8916285.

It is an arithmetic number, because the mean of its divisors is an integer number (64626853200).

Almost surely, 22444430300102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2444430300102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102088953600).

2444430300102 is an abundant number, since it is smaller than the sum of its proper divisors (3759747607098).

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

2444430300102 is a wasteful number, since it uses less digits than its factorization.

2444430300102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280258 (or 280255 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 2444430300102 its reverse (2010030344442), we get a palindrome (4454460644544).

The spelling of 2444430300102 in words is "two trillion, four hundred forty-four billion, four hundred thirty million, three hundred thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 738 861 1699 1722 2583 3398 5097 5166 10194 11893 15291 23786 30582 35679 69659 71358 107037 139318 208977 214074 278503 417954 487613 557006 626931 835509 975226 1253862 1462839 1671018 1949521 2506527 2925678 3899042 4388517 5013054 5848563 8777034 11418623 11697126 17545689 22837246 34255869 35091378 68511738 79930361 102767607 159860722 205535214 239791083 473176597 479582166 719373249 946353194 1419529791 1438746498 2839059582 3312236179 4258589373 6624472358 8517178746 9936708537 19400240477 19873417074 29810125611 38800480954 58200721431 59620251222 116401442862 135801683339 174602164293 271603366678 349204328586 407405050017 814810100034 1222215150051 2444430300102