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10422441032040 = 233359749989887
BaseRepresentation
bin1001011110101010100111…
…1001010011100101101000
31100220101010211120011112000
42113222221321103211220
52331230124401011130
634100000414251000
72123665543022562
oct227525171234550
940811124504460
1010422441032040
113359150282994
121203b324b6a60
135a7aa7ac563b
1428063d878332
151311a1a36260
hex97aa9e53968

10422441032040 has 128 divisors (see below), whose sum is σ = 34745068800000. Its totient is φ = 2779029713664.

The previous prime is 10422441032021. The next prime is 10422441032089. The reversal of 10422441032040 is 4023014422401.

10422441032040 is a `hidden beast` number, since 1 + 0 + 4 + 224 + 410 + 3 + 20 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10422441031995 and 10422441032013.

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, 10033977 + ... + 11023863.

It is an arithmetic number, because the mean of its divisors is an integer number (271445850000).

Almost surely, 210422441032040 is an apocalyptic number.

10422441032040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10422441032040 is an abundant number, since it is smaller than the sum of its proper divisors (24322627767960).

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

10422441032040 is a wasteful number, since it uses less digits than its factorization.

10422441032040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999656 (or 999646 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 10422441032040 its reverse (4023014422401), we get a palindrome (14445455454441).

The spelling of 10422441032040 in words is "ten trillion, four hundred twenty-two billion, four hundred forty-one million, thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 9749 19498 29247 38996 48745 58494 77992 87741 97490 116988 146235 175482 194980 233976 263223 292470 350964 389960 438705 526446 584940 701928 877410 989887 1052892 1169880 1316115 1754820 1979774 2105784 2632230 2969661 3509640 3959548 4949435 5264460 5939322 7919096 8908983 9898870 10528920 11878644 14848305 17817966 19797740 23757288 26726949 29696610 35635932 39595480 44544915 53453898 59393220 71271864 89089830 106907796 118786440 133634745 178179660 213815592 267269490 356359320 534538980 1069077960 9650408363 19300816726 28951225089 38601633452 48252041815 57902450178 77203266904 86853675267 96504083630 115804900356 144756125445 173707350534 193008167260 231609800712 260561025801 289512250890 347414701068 386016334520 434268376335 521122051602 579024501780 694829402136 868536752670 1042244103204 1158049003560 1302805129005 1737073505340 2084488206408 2605610258010 3474147010680 5211220516020 10422441032040