Search a number
-
+
11402402312430 = 2325177452550531
BaseRepresentation
bin1010010111101101010000…
…1000111011000011101110
31111101001121000121011102200
42211323110020323003232
52443304104442444210
640130105153402330
72254540105331553
oct245732410730356
944331530534380
1011402402312430
1136a6805933188
121341a415693a6
1364931b67a72c
142b5c447daa2a
1514b908e340c0
hexa5ed423b0ee

11402402312430 has 48 divisors (see below), whose sum is σ = 31390142840784. Its totient is φ = 2861779403520.

The previous prime is 11402402312419. The next prime is 11402402312449. The reversal of 11402402312430 is 3421320420411.

11402402312430 is a `hidden beast` number, since 1 + 1 + 402 + 4 + 0 + 231 + 24 + 3 + 0 = 666.

It is a super-2 number, since 2×114024023124302 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11402402312394 and 11402402312403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3726273736 + ... + 3726276795.

It is an arithmetic number, because the mean of its divisors is an integer number (653961309183).

Almost surely, 211402402312430 is an apocalyptic number.

11402402312430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11402402312430 is an abundant number, since it is smaller than the sum of its proper divisors (19987740528354).

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

11402402312430 is a wasteful number, since it uses less digits than its factorization.

11402402312430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7452550561 (or 7452550558 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11402402312430 its reverse (3421320420411), we get a palindrome (14823722732841).

The spelling of 11402402312430 in words is "eleven trillion, four hundred two billion, four hundred two million, three hundred twelve thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 7452550531 14905101062 22357651593 37262752655 44715303186 67072954779 74525505310 111788257965 126693359027 134145909558 223576515930 253386718054 335364773895 380080077081 633466795135 670729547790 760160154162 1140240231243 1266933590270 1900400385405 2280480462486 3800800770810 5701201156215 11402402312430