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42322012444300 = 22523113013345161
BaseRepresentation
bin10011001111101110111001…
…00001001001011010001100
312112211221111210222220212111
421213313130201021122030
521021400440141204200
6230002244125313404
711625443631132541
oct1147673441113214
9175757453886774
1042322012444300
1112537734768386
1248b6358405864
131a7cc442489b4
14a6457976abc8
154d5d5cb440ba
hex267ddc84968c

42322012444300 has 72 divisors (see below), whose sum is σ = 92139166278432. Its totient is φ = 16873437888000.

The previous prime is 42322012444297. The next prime is 42322012444303. The reversal of 42322012444300 is 344421022324.

42322012444300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42322012444297) and next prime (42322012444303).

It is not an unprimeable number, because it can be changed into a prime (42322012444303) by changing a digit.

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, 937113720 + ... + 937158880.

It is an arithmetic number, because the mean of its divisors is an integer number (1279710642756).

Almost surely, 242322012444300 is an apocalyptic number.

It is an amenable number.

42322012444300 is an abundant number, since it is smaller than the sum of its proper divisors (49817153834132).

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

42322012444300 is a wasteful number, since it uses less digits than its factorization.

42322012444300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75619 (or 75612 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 42322012444300 its reverse (344421022324), we get a palindrome (42666433466624).

The spelling of 42322012444300 in words is "forty-two trillion, three hundred twenty-two billion, twelve million, four hundred forty-four thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 311 622 1244 1555 3110 6220 7775 15550 30133 31100 45161 60266 90322 120532 150665 180644 225805 301330 451610 602660 753325 903220 1129025 1506650 2258050 3013300 4516100 9371363 14045071 18742726 28090142 37485452 46856815 56180284 70225355 93713630 140450710 187427260 234284075 280901420 351126775 468568150 702253550 937136300 1360836413 1404507100 2721672826 5443345652 6804182065 13608364130 27216728260 34020910325 68041820650 136083641300 423220124443 846440248886 1692880497772 2116100622215 4232201244430 8464402488860 10580503111075 21161006222150 42322012444300