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42443377334424 = 23331199011804199
BaseRepresentation
bin10011010011010000111100…
…11011011101100010011000
312120021112202221110010122000
421221220132123131202120
521030343014044200144
6230134115100201000
711640301312520463
oct1151503633354230
9176245687403560
1042443377334424
1112584154010670
124915989239160
131a8b51613aa51
14a6a3b00862da
154d90b2856769
hex269a1e6dd898

42443377334424 has 128 divisors (see below), whose sum is σ = 128629356480000. Its totient is φ = 12860323344000.

The previous prime is 42443377334419. The next prime is 42443377334431.

42443377334424 is a `hidden beast` number, since 4 + 244 + 3 + 37 + 7 + 3 + 344 + 24 = 666.

42443377334424 is nontrivially palindromic in base 10.

42443377334424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 22622677 + ... + 24426875.

It is an arithmetic number, because the mean of its divisors is an integer number (1004916847500).

Almost surely, 242443377334424 is an apocalyptic number.

42443377334424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42443377334424 is an abundant number, since it is smaller than the sum of its proper divisors (86185979145576).

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

42443377334424 is a wasteful number, since it uses less digits than its factorization.

42443377334424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814126 (or 1814116 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 54.

The spelling of 42443377334424 in words is "forty-two trillion, four hundred forty-three billion, three hundred seventy-seven million, three hundred thirty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 594 792 1188 2376 9901 19802 29703 39604 59406 79208 89109 108911 118812 178218 217822 237624 267327 326733 356436 435644 534654 653466 712872 871288 980199 1069308 1306932 1804199 1960398 2138616 2613864 2940597 3608398 3920796 5412597 5881194 7216796 7841592 10825194 11762388 14433592 16237791 19846189 21650388 23524776 32475582 39692378 43300776 48713373 59538567 64951164 79384756 97426746 119077134 129902328 158769512 178615701 194853492 238154268 357231402 389706984 476308536 535847103 714462804 1071694206 1428925608 2143388412 4286776824 17863374299 35726748598 53590122897 71453497196 107180245794 142906994392 160770368691 196497117289 214360491588 321540737382 392994234578 428720983176 482311106073 589491351867 643081474764 785988469156 964622212146 1178982703734 1286162949528 1571976938312 1768474055601 1929244424292 2357965407468 3536948111202 3858488848584 4715930814936 5305422166803 7073896222404 10610844333606 14147792444808 21221688667212 42443377334424