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340222225321242 = 23411894121353491
BaseRepresentation
bin100110101011011100010100…
…0111000101000110100011010
31122121121221000212000120210000
41031112320220320220310122
5324043200104140234432
63203331533240233430
7131443146622564545
oct11526705070506432
91577557025016700
10340222225321242
1199450487689580
12321a941aa6b876
13117aba837221b4
146002bb4a6785c
15294ee62cda57c
hex1356e28e28d1a

340222225321242 has 80 divisors (see below), whose sum is σ = 831747383321184. Its totient is φ = 103086108324000.

The previous prime is 340222225321229. The next prime is 340222225321361. The reversal of 340222225321242 is 242123522222043.

340222225321242 is a `hidden beast` number, since 3 + 40 + 2 + 22 + 22 + 532 + 1 + 2 + 42 = 666.

It is a super-2 number, since 2×3402222253212422 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 340222225321197 and 340222225321206.

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 39 ways as a sum of consecutive naturals, for example, 5256117 + ... + 26609607.

Almost surely, 2340222225321242 is an apocalyptic number.

340222225321242 is an abundant number, since it is smaller than the sum of its proper divisors (491525157999942).

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

340222225321242 is a wasteful number, since it uses less digits than its factorization.

340222225321242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21362457 (or 21362448 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 340222225321242 its reverse (242123522222043), we get a palindrome (582345747543285).

The spelling of 340222225321242 in words is "three hundred forty trillion, two hundred twenty-two billion, two hundred twenty-five million, three hundred twenty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 8941 17882 26823 53646 80469 98351 160938 196702 241407 295053 482814 590106 724221 885159 1448442 1770318 2655477 5310954 7966431 15932862 21353491 42706982 64060473 128120946 192181419 234888401 384362838 469776802 576544257 704665203 1153088514 1409330406 1729632771 2113995609 3459265542 4227991218 6341986827 12683973654 19025960481 38051920962 190921563031 381843126062 572764689093 1145529378186 1718294067279 2100137193341 3436588134558 4200274386682 5154882201837 6300411580023 10309764403674 12600823160046 15464646605511 18901234740069 30929293211022 37802469480138 56703704220207 113407408440414 170111112660621 340222225321242