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42313121232444 = 22323779931095121
BaseRepresentation
bin10011001111011110010101…
…00011110111011000111100
312112211002120011121120010200
421213233022203313120330
521021224233013414234
6225554213552003500
711625010406105226
oct1147571243673074
9175732504546120
1042313121232444
1112533991920307
1248b4696830590
131a7c1581982aa
14a63d74993416
154d59dc2a5d99
hex267bca8f763c

42313121232444 has 36 divisors (see below), whose sum is σ = 106961000655600. Its totient is φ = 14104000149120.

The previous prime is 42313121232401. The next prime is 42313121232461. The reversal of 42313121232444 is 44423212131324.

42313121232444 is a `hidden beast` number, since 4 + 2 + 3 + 1 + 312 + 12 + 324 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 42313121232399 and 42313121232408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14186797 + ... + 16908324.

It is an arithmetic number, because the mean of its divisors is an integer number (2971138907100).

Almost surely, 242313121232444 is an apocalyptic number.

It is an amenable number.

42313121232444 is an abundant number, since it is smaller than the sum of its proper divisors (64647879423156).

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

42313121232444 is a wasteful number, since it uses less digits than its factorization.

42313121232444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31132930 (or 31132925 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 42313121232444 its reverse (44423212131324), we get a palindrome (86736333363768).

The spelling of 42313121232444 in words is "forty-two trillion, three hundred thirteen billion, one hundred twenty-one million, two hundred thirty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37799 75598 113397 151196 226794 340191 453588 680382 1360764 31095121 62190242 93285363 124380484 186570726 279856089 373141452 559712178 1119424356 1175364478679 2350728957358 3526093436037 4701457914716 7052186872074 10578280308111 14104373744148 21156560616222 42313121232444