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10042420214430 = 2325153137286779
BaseRepresentation
bin1001001000100010111011…
…1000111011101010011110
31022120001020112100102101100
42102020232320323222132
52304013334033330210
633205231341253530
72054353351252662
oct222105670735236
938501215312340
1010042420214430
113221a6a450a7a
1211623562642a6
1357acc4753616
1426a0accdc8a2
1512635e1455c0
hex9222ee3ba9e

10042420214430 has 48 divisors (see below), whose sum is σ = 26112001247280. Its totient is φ = 2677803473664.

The previous prime is 10042420214429. The next prime is 10042420214471. The reversal of 10042420214430 is 3441202424001.

10042420214430 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 24 + 202 + 1 + 4 + 430 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10042420214394 and 10042420214403.

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, 2265220 + ... + 5021559.

It is an arithmetic number, because the mean of its divisors is an integer number (544000025985).

Almost surely, 210042420214430 is an apocalyptic number.

10042420214430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10042420214430 is an abundant number, since it is smaller than the sum of its proper divisors (16069581032850).

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

10042420214430 is a wasteful number, since it uses less digits than its factorization.

10042420214430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7302105 (or 7302102 counting only the distinct ones).

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

Adding to 10042420214430 its reverse (3441202424001), we get a palindrome (13483622638431).

The spelling of 10042420214430 in words is "ten trillion, forty-two billion, four hundred twenty million, two hundred fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 15313 30626 45939 76565 91878 137817 153130 229695 275634 459390 689085 1378170 7286779 14573558 21860337 36433895 43720674 65581011 72867790 109301685 131162022 218603370 327905055 655810110 111582446827 223164893654 334747340481 557912234135 669494680962 1004242021443 1115824468270 1673736702405 2008484042886 3347473404810 5021210107215 10042420214430