Search a number
-
+
10041244032402 = 23311112019150907
BaseRepresentation
bin1001001000011110100011…
…0010001001110110010010
31022112221012120011011222000
42102013220302021312102
52304003431433014102
633204514523454430
72054312250004602
oct222075062116622
938487176134860
1010041244032402
113221516533010
121162088387416
1357ab67b7b31b
14269ddaa0cc02
151262e0c6201c
hex921e8c89d92

10041244032402 has 64 divisors (see below), whose sum is σ = 24342788390400. Its totient is φ = 3042753895440.

The previous prime is 10041244032359. The next prime is 10041244032403. The reversal of 10041244032402 is 20423044214001.

10041244032402 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 12 + 4 + 403 + 240 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10041244032403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66463833 + ... + 66614739.

It is an arithmetic number, because the mean of its divisors is an integer number (380356068600).

Almost surely, 210041244032402 is an apocalyptic number.

10041244032402 is an abundant number, since it is smaller than the sum of its proper divisors (14301544357998).

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

10041244032402 is a wasteful number, since it uses less digits than its factorization.

10041244032402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262948 (or 262942 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10041244032402 its reverse (20423044214001), we get a palindrome (30464288246403).

The spelling of 10041244032402 in words is "ten trillion, forty-one billion, two hundred forty-four million, thirty-two thousand, four hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 112019 150907 224038 301814 336057 452721 672114 905442 1008171 1232209 1358163 1659977 2016342 2464418 2716326 3024513 3319954 3696627 4074489 4979931 6049026 7393254 8148978 9959862 11089881 14939793 22179762 29879586 33269643 44819379 66539286 89638758 16904451233 33808902466 50713353699 101426707398 152140061097 185948963563 304280122194 371897927126 456420183291 557846890689 912840366582 1115693781378 1673540672067 3347081344134 5020622016201 10041244032402