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23434100441442 = 23268311171170633
BaseRepresentation
bin1010101010000001011010…
…01110111000000101100010
310001222021111202022001200100
411111000231032320011202
511032421014203111232
6121501251020403230
74636025566113435
oct525005516700542
9101867452261610
1023434100441442
117515389856519
1227658289a6516
13100ca981a5172
145b030617d81c
152a9894ab2c7c
hex15502d3b8162

23434100441442 has 48 divisors (see below), whose sum is σ = 50853073628448. Its totient is φ = 7799186028480.

The previous prime is 23434100441429. The next prime is 23434100441533. The reversal of 23434100441442 is 24414400143432.

23434100441442 is a `hidden beast` number, since 23 + 43 + 410 + 0 + 44 + 144 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23434100441397 and 23434100441406.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 137250958 + ... + 137421590.

It is an arithmetic number, because the mean of its divisors is an integer number (1059439033926).

Almost surely, 223434100441442 is an apocalyptic number.

23434100441442 is an abundant number, since it is smaller than the sum of its proper divisors (27418973187006).

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

23434100441442 is a wasteful number, since it uses less digits than its factorization.

23434100441442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182495 (or 182492 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 23434100441442 its reverse (24414400143432), we get a palindrome (47848500584874).

The spelling of 23434100441442 in words is "twenty-three trillion, four hundred thirty-four billion, one hundred million, four hundred forty-one thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 683 1366 2049 4098 6147 11171 12294 22342 33513 67026 100539 170633 201078 341266 511899 1023798 1535697 3071394 7629793 15259586 22889379 45778758 68668137 116542339 137336274 233084678 349627017 699254034 1048881051 1906141243 2097762102 3812282486 5718423729 11436847458 17155271187 34310542374 1301894468969 2603788937938 3905683406907 7811366813814 11717050220721 23434100441442