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4234022541320 = 23511131039712429
BaseRepresentation
bin111101100111001111011…
…010001101100000001000
3112222202202022101120010112
4331213033122031200020
51023332234232310240
613001025541133452
7614620011534515
oct75471732154010
915882668346115
104234022541320
111392703386710
125846b96ba288
13249360994460
14108cdbbaa30c
157520b282665
hex3d9cf68d808

4234022541320 has 128 divisors (see below), whose sum is σ = 11202819264000. Its totient is φ = 1419840506880.

The previous prime is 4234022541263. The next prime is 4234022541341. The reversal of 4234022541320 is 231452204324.

4234022541320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42340225413202 (a number of 26 digits) contains 22 as substring.

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, 5586866 + ... + 6299294.

It is an arithmetic number, because the mean of its divisors is an integer number (87522025500).

Almost surely, 24234022541320 is an apocalyptic number.

4234022541320 is a gapful number since it is divisible by the number (40) 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 4234022541320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5601409632000).

4234022541320 is an abundant number, since it is smaller than the sum of its proper divisors (6968796722680).

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

4234022541320 is a wasteful number, since it uses less digits than its factorization.

4234022541320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713503 (or 713499 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 32.

Adding to 4234022541320 its reverse (231452204324), we get a palindrome (4465474745644).

The spelling of 4234022541320 in words is "four trillion, two hundred thirty-four billion, twenty-two million, five hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 1039 1144 1430 2078 2860 4156 5195 5720 8312 10390 11429 13507 20780 22858 27014 41560 45716 54028 57145 67535 91432 108056 114290 135070 148577 228580 270140 297154 457160 540280 594308 712429 742885 1188616 1424858 1485770 2849716 2971540 3562145 5699432 5943080 7124290 7836719 9261577 14248580 15673438 18523154 28497160 31346876 37046308 39183595 46307885 62693752 74092616 78367190 92615770 101877347 156734380 185231540 203754694 313468760 370463080 407509388 509386735 740213731 815018776 1018773470 1480427462 2037546940 2960854924 3701068655 4075093880 5921709848 7402137310 8142351041 9622778503 14804274620 16284702082 19245557006 29608549240 32569404164 38491114012 40711755205 48113892515 65138808328 76982228024 81423510410 96227785030 105850563533 162847020820 192455570060 211701127066 325694041640 384911140120 423402254132 529252817665 846804508264 1058505635330 2117011270660 4234022541320