Search a number
-
+
123014222302240 = 2552926511685841
BaseRepresentation
bin11011111110000101111011…
…000001011100110000100000
3121010120001012122211010022101
4123332011323001130300200
5112110431111402132430
61113343541545420144
734624325051052253
oct3376057301346040
9533501178733271
10123014222302240
1136218047574085
1211968b9219a654
135384264631019
142253cc4b8909a
15e34d3778edca
hex6fe17b05cc20

123014222302240 has 48 divisors (see below), whose sum is σ = 300642517448280. Its totient is φ = 47508941025280.

The previous prime is 123014222302219. The next prime is 123014222302243. The reversal of 123014222302240 is 42203222410321.

It can be written as a sum of positive squares in 4 ways, for example, as 108782647131664 + 14231575170576 = 10429892^2 + 3772476^2 .

It is a junction number, because it is equal to n+sod(n) for n = 123014222302199 and 123014222302208.

It is not an unprimeable number, because it can be changed into a prime (123014222302243) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13255838281 + ... + 13255847560.

Almost surely, 2123014222302240 is an apocalyptic number.

123014222302240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123014222302240 is an abundant number, since it is smaller than the sum of its proper divisors (177628295146040).

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

123014222302240 is a wasteful number, since it uses less digits than its factorization.

123014222302240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26511685885 (or 26511685877 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 123014222302240 its reverse (42203222410321), we get a palindrome (165217444712561).

The spelling of 123014222302240 in words is "one hundred twenty-three trillion, fourteen billion, two hundred twenty-two million, three hundred two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 160 232 290 464 580 928 1160 2320 4640 26511685841 53023371682 106046743364 132558429205 212093486728 265116858410 424186973456 530233716820 768838889389 848373946912 1060467433640 1537677778778 2120934867280 3075355557556 3844194446945 4241869734560 6150711115112 7688388893890 12301422230224 15376777787780 24602844460448 30753555575560 61507111151120 123014222302240