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42442442421144 = 23323257929813293
BaseRepresentation
bin10011010011001111001101…
…01101000011001110011000
312120021110100210020121201020
421221213212231003032120
521030334110224434034
6230133442221522440
711640236201061003
oct1151474655031630
9176243323217636
1042442442421144
1112583814302467
124915768113420
131a8b3c753bc1c
14a6a321c3c53a
154d905a730249
hex2699e6b43398

42442442421144 has 64 divisors (see below), whose sum is σ = 110762349868800. Its totient is φ = 13527125352576.

The previous prime is 42442442421131. The next prime is 42442442421161. The reversal of 42442442421144 is 44112424424424.

42442442421144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 42442442421096 and 42442442421105.

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 15 ways as a sum of consecutive naturals, for example, 13483039 + ... + 16330254.

It is an arithmetic number, because the mean of its divisors is an integer number (1730661716700).

Almost surely, 242442442421144 is an apocalyptic number.

It is an amenable number.

42442442421144 is an abundant number, since it is smaller than the sum of its proper divisors (68319907447656).

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

42442442421144 is a wasteful number, since it uses less digits than its factorization.

42442442421144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29815904 (or 29815900 counting only the distinct ones).

The product of its digits is 1048576, while the sum is 42.

Adding to 42442442421144 its reverse (44112424424424), we get a palindrome (86554866845568).

The spelling of 42442442421144 in words is "forty-two trillion, four hundred forty-two billion, four hundred forty-two million, four hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 138 184 276 552 2579 5158 7737 10316 15474 20632 30948 59317 61896 118634 177951 237268 355902 474536 711804 1423608 29813293 59626586 89439879 119253172 178879758 238506344 357759516 685705739 715519032 1371411478 2057117217 2742822956 4114234434 5485645912 8228468868 16456937736 76888482647 153776965294 230665447941 307553930588 461330895882 615107861176 922661791764 1768435100881 1845323583528 3536870201762 5305305302643 7073740403524 10610610605286 14147480807048 21221221210572 42442442421144