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42414223040 = 265743440347
BaseRepresentation
bin100111100000000101…
…011010111011000000
311001110220211202220122
4213200011122323000
51143331020114130
631252415555412
73031030642640
oct474005327300
9131426752818
1042414223040
1116a957a55a2
12827852bb68
133ccc2aacc7
1420a5090520
15118391c2e5
hex9e015aec0

42414223040 has 112 divisors (see below), whose sum is σ = 118111901952. Its totient is φ = 14203800576.

The previous prime is 42414223039. The next prime is 42414223043. The reversal of 42414223040 is 4032241424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (42414223043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123854 + ... + 316493.

Almost surely, 242414223040 is an apocalyptic number.

42414223040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42414223040 is an abundant number, since it is smaller than the sum of its proper divisors (75697678912).

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

42414223040 is a wasteful number, since it uses less digits than its factorization.

42414223040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440414 (or 440404 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 42414223040 its reverse (4032241424), we get a palindrome (46446464464).

The spelling of 42414223040 in words is "forty-two billion, four hundred fourteen million, two hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 43 56 64 70 80 86 112 140 160 172 215 224 280 301 320 344 430 448 560 602 688 860 1120 1204 1376 1505 1720 2240 2408 2752 3010 3440 4816 6020 6880 9632 12040 13760 19264 24080 48160 96320 440347 880694 1761388 2201735 3082429 3522776 4403470 6164858 7045552 8806940 12329716 14091104 15412145 17613880 18934921 24659432 28182208 30824290 35227760 37869842 49318864 61648580 70455520 75739684 94674605 98637728 123297160 132544447 140911040 151479368 189349210 197275456 246594320 265088894 302958736 378698420 493188640 530177788 605917472 662722235 757396840 986377280 1060355576 1211834944 1325444470 1514793680 2120711152 2650888940 3029587360 4241422304 5301777880 6059174720 8482844608 10603555760 21207111520 42414223040