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412302400422 = 2311195324125741
BaseRepresentation
bin1011111111111110010…
…00110101101110100110
31110102020001201001201220
411333333020311232212
523223343403303142
6513224211201210
741534144402433
oct5777710655646
91412201631656
10412302400422
11149946a57980
1267aa72a6206
132cb59331413
1415d5401ab8a
15aad199e2ec
hex5fff235ba6

412302400422 has 128 divisors (see below), whose sum is σ = 968821793280. Its totient is φ = 115644672000.

The previous prime is 412302400357. The next prime is 412302400439. The reversal of 412302400422 is 224004203214.

It is a junction number, because it is equal to n+sod(n) for n = 412302400392 and 412302400401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16004472 + ... + 16030212.

It is an arithmetic number, because the mean of its divisors is an integer number (7568920260).

Almost surely, 2412302400422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412302400422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484410896640).

412302400422 is an abundant number, since it is smaller than the sum of its proper divisors (556519392858).

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

412302400422 is a wasteful number, since it uses less digits than its factorization.

412302400422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26070.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 412302400422 its reverse (224004203214), we get a palindrome (636306603636).

The spelling of 412302400422 in words is "four hundred twelve billion, three hundred two million, four hundred thousand, four hundred twenty-two".

Divisors: 1 2 3 6 11 19 22 33 38 53 57 66 106 114 159 209 241 318 418 482 583 627 723 1007 1166 1254 1446 1749 2014 2651 3021 3498 4579 5302 6042 7953 9158 11077 12773 13737 15906 22154 25546 25741 27474 33231 38319 50369 51482 66462 76638 77223 100738 140503 151107 154446 242687 281006 283151 302214 421509 485374 489079 566302 728061 843018 849453 978158 1364273 1456122 1467237 1698906 2669557 2728546 2934474 4092819 5339114 5379869 6203581 8008671 8185638 10759738 12407162 15007003 16017342 16139607 18610743 25921187 30014006 32279214 37221486 45021009 51842374 68239391 77763561 90042018 117868039 136478782 155527122 204718173 235736078 285133057 328789793 353604117 409436346 570266114 657579586 707208234 855399171 986369379 1296548429 1710798342 1972738758 2593096858 3616687723 3889645287 6247006067 7233375446 7779290574 10850063169 12494012134 18741018201 21700126338 37482036402 68717066737 137434133474 206151200211 412302400422