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42122302421144 = 231129413617111301
BaseRepresentation
bin10011001001111010111001…
…10111110111100010011000
312112010212000200100120211012
421210331130313313202120
521010112433404434034
6225330415114353052
711605143631011221
oct1144753467674230
9175125020316735
1042122302421144
111246aa71655070
124883701a2b788
131a6716802836a
14a58a31db0248
154d0a6ed9dcce
hex264f5cdf7898

42122302421144 has 128 divisors (see below), whose sum is σ = 91330236244800. Its totient is φ = 18030243840000.

The previous prime is 42122302421113. The next prime is 42122302421219. The reversal of 42122302421144 is 44112420322124.

It is a super-2 number, since 2×421223024211442 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42122302421144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 378398294 + ... + 378509594.

Almost surely, 242122302421144 is an apocalyptic number.

42122302421144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42122302421144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45665118122400).

42122302421144 is an abundant number, since it is smaller than the sum of its proper divisors (49207933823656).

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

42122302421144 is a wasteful number, since it uses less digits than its factorization.

42122302421144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115005 (or 115001 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 42122302421144 its reverse (44112420322124), we get a palindrome (86234722743268).

The spelling of 42122302421144 in words is "forty-two trillion, one hundred twenty-two billion, three hundred two million, four hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 29 41 44 58 82 88 116 164 232 319 328 451 638 902 1189 1276 1804 2378 2552 3608 3617 4756 7234 9512 13079 14468 26158 28936 39787 52316 79574 104632 104893 111301 148297 159148 209786 222602 296594 318296 419572 445204 593188 839144 890408 1153823 1186376 1224311 1631267 2307646 2448622 3227729 3262534 4300613 4563341 4615292 4897244 6455458 6525068 8601226 9126682 9230584 9794488 12910916 13050136 17202452 18253364 25821832 34404904 35505019 36506728 47306743 50196751 71010038 94613486 100393502 132336889 142020076 189226972 200787004 264673778 284040152 378453944 401574008 402575717 529347556 805151434 1058695112 1455705779 1610302868 2911411558 3220605736 4428332887 5822823116 8856665774 11645646232 11674695793 16505604397 17713331548 23349391586 33011208794 35426663096 46698783172 66022417588 93397566344 128421653723 132044835176 181561648367 256843307446 363123296734 478662527513 513686614892 726246593468 957325055026 1027373229784 1452493186936 1914650110052 3829300220104 5265287802643 10530575605286 21061151210572 42122302421144