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42002322042112 = 285327071143587
BaseRepresentation
bin10011000110011011011010…
…11111000010110100000000
312111201101100001002211020021
421203031231133002310000
521001131223420321422
6225155333402423224
711563365460425625
oct1143155537026400
9174641301084207
1042002322042112
11124240a2881523
1248643b8801b14
131a58a56c20a43
14a52ccd4d434c
154cc89b9c1dc7
hex26336d7c2d00

42002322042112 has 72 divisors (see below), whose sum is σ = 85454100972576. Its totient is φ = 20597282973696.

The previous prime is 42002322042061. The next prime is 42002322042133. The reversal of 42002322042112 is 21124022320024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36156783 + ... + 37300369.

It is an arithmetic number, because the mean of its divisors is an integer number (1186862513508).

Almost surely, 242002322042112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42002322042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42727050486288).

42002322042112 is an abundant number, since it is smaller than the sum of its proper divisors (43451778930464).

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

42002322042112 is a wasteful number, since it uses less digits than its factorization.

42002322042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146363 (or 1146349 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 42002322042112 its reverse (21124022320024), we get a palindrome (63126344362136).

The spelling of 42002322042112 in words is "forty-two trillion, two billion, three hundred twenty-two million, forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1696 2707 3392 5414 6784 10828 13568 21656 43312 86624 143471 173248 286942 346496 573884 692992 1143587 1147768 2287174 2295536 4574348 4591072 9148696 9182144 18297392 18364288 36594784 36728576 60610111 73189568 121220222 146379136 242440444 292758272 484880888 969761776 1939523552 3095690009 3879047104 6191380018 7758094208 12382760036 15516188416 24765520072 49531040144 99062080288 164071570477 198124160576 328143140954 396248321152 656286281908 792496642304 1312572563816 2625145127632 5250290255264 10500580510528 21001161021056 42002322042112