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4024242422010 = 234543577919993
BaseRepresentation
bin111010100011110111100…
…010100100000011111010
3112020201021101002100010000
4322203313202210003322
51011413122030001020
612320413401133430
7563512323124236
oct72436742440372
915221241070100
104024242422010
111311742a32088
1254bb1278a276
1323263b3b3145
14dcabac415c6
156ea2e3d5090
hex3a8f78a40fa

4024242422010 has 160 divisors (see below), whose sum is σ = 11074855746240. Its totient is φ = 1047940975872.

The previous prime is 4024242421999. The next prime is 4024242422027. The reversal of 4024242422010 is 102242424204.

4024242422010 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 2 + 424 + 220 + 10 = 666.

It is a super-2 number, since 2×40242424220102 (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 201272574 + ... + 201292566.

It is an arithmetic number, because the mean of its divisors is an integer number (69217848414).

Almost surely, 24024242422010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4024242422010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5537427873120).

4024242422010 is an abundant number, since it is smaller than the sum of its proper divisors (7050613324230).

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

4024242422010 is a wasteful number, since it uses less digits than its factorization.

4024242422010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25834 (or 25825 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 4024242422010 its reverse (102242424204), we get a palindrome (4126484846214).

The spelling of 4024242422010 in words is "four trillion, twenty-four billion, two hundred forty-two million, four hundred twenty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 81 86 90 129 135 162 215 258 270 387 405 430 645 774 810 1161 1290 1935 2322 3483 3870 5779 5805 6966 11558 11610 17337 17415 19993 28895 34674 34830 39986 52011 57790 59979 86685 99965 104022 119958 156033 173370 179937 199930 248497 260055 299895 312066 359874 468099 496994 520110 539811 599790 745491 780165 859699 899685 936198 1079622 1242485 1490982 1560330 1619433 1719398 1799370 2236473 2340495 2484970 2579097 2699055 3238866 3727455 4298495 4472946 4680990 5158194 5398110 6709419 7454910 7737291 8097165 8596990 11182365 12895485 13418838 15474582 16194330 20128257 22364730 23211873 25790970 33547095 38686455 40256514 46423746 67094190 69635619 77372910 100641285 115539547 116059365 139271238 201282570 231079094 232118730 346618641 348178095 577697735 693237282 696356190 1039855923 1155395470 1733093205 2079711846 3119567769 3466186410 4968200521 5199279615 6239135538 9358703307 9936401042 10398559230 14904601563 15597838845 18717406614 24841002605 29809203126 31195677690 44713804689 46793516535 49682005210 74523007815 89427609378 93587033070 134141414067 149046015630 223569023445 268282828134 402424242201 447138046890 670707070335 804848484402 1341414140670 2012121211005 4024242422010