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22444121420032 = 281388716674561
BaseRepresentation
bin1010001101001101011011…
…11000100111000100000000
32221110122012102010002112111
411012212231320213010000
510420211030040420112
6115422404222305104
74504351152222424
oct506465570470400
987418172102474
1022444121420032
117173553474114
1226259a2a28194
13c6a619060770
1457843099ab84
1528dc52ea05a7
hex1469ade27100

22444121420032 has 144 divisors (see below), whose sum is σ = 48340732712832. Its totient is φ = 10338672476160.

The previous prime is 22444121420011. The next prime is 22444121420179. The reversal of 22444121420032 is 23002412144422.

It is a junction number, because it is equal to n+sod(n) for n = 22444121419976 and 22444121420003.

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 15 ways as a sum of consecutive naturals, for example, 4920875032 + ... + 4920879592.

It is an arithmetic number, because the mean of its divisors is an integer number (335699532728).

Almost surely, 222444121420032 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 22444121420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24170366356416).

22444121420032 is an abundant number, since it is smaller than the sum of its proper divisors (25896611292800).

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

22444121420032 is a wasteful number, since it uses less digits than its factorization.

22444121420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7144 (or 7130 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 22444121420032 its reverse (23002412144422), we get a palindrome (45446533564454).

The spelling of 22444121420032 in words is "twenty-two trillion, four hundred forty-four billion, one hundred twenty-one million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 887 1664 1667 1774 3328 3334 3548 4561 6668 7096 9122 11531 13336 14192 18244 21671 23062 26672 28384 36488 43342 46124 53344 56768 59293 72976 86684 92248 106688 113536 118586 145952 173368 184496 213376 227072 237172 291904 346736 368992 426752 474344 583808 693472 737984 948688 1167616 1386944 1475968 1478629 1897376 2773888 2951936 2957258 3794752 4045607 5547776 5914516 7589504 7603187 8091214 11829032 15179008 15206374 16182428 19222177 23658064 30412748 32364856 38444354 47316128 52592891 60825496 64729712 76888708 94632256 98841431 105185782 121650992 129459424 153777416 189264512 197682862 210371564 243301984 258918848 307554832 378529024 395365724 420743128 486603968 517837696 615109664 790731448 841486256 973207936 1035675392 1230219328 1581462896 1682972512 1946415872 2460438656 3162925792 3365945024 4920877312 6325851584 6731890048 6744026869 12651703168 13463780096 13488053738 25303406336 26976107476 53952214952 87672349297 107904429904 175344698594 215808859808 350689397188 431617719616 701378794376 863235439232 1402757588752 1726470878464 2805515177504 5611030355008 11222060710016 22444121420032