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4021240100208 = 2432314928386381
BaseRepresentation
bin111010100001000100100…
…101100111010101110000
3112020102112010200120212020
4322201010211213111300
51011340444431201313
612315155431031440
7563345035611402
oct72410445472560
915212463616766
104021240100208
1113104422262a1
1254b41520b580
13232280397b76
14dc8b41d2b72
156e905a33323
hex3a844967570

4021240100208 has 160 divisors (see below), whose sum is σ = 10951302643200. Its totient is φ = 1269014799360.

The previous prime is 4021240100173. The next prime is 4021240100221. The reversal of 4021240100208 is 8020010421204.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46509178 + ... + 46595558.

It is an arithmetic number, because the mean of its divisors is an integer number (68445641520).

Almost surely, 24021240100208 is an apocalyptic number.

4021240100208 is a gapful number since it is divisible by the number (48) 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 4021240100208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5475651321600).

4021240100208 is an abundant number, since it is smaller than the sum of its proper divisors (6930062542992).

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

4021240100208 is a wasteful number, since it uses less digits than its factorization.

4021240100208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86847 (or 86841 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 4021240100208 in words is "four trillion, twenty-one billion, two hundred forty million, one hundred thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 149 184 276 283 298 368 447 552 566 596 849 894 1104 1132 1192 1698 1788 2264 2384 3396 3427 3576 4528 6509 6792 6854 7152 10281 13018 13584 13708 19527 20562 26036 27416 39054 41124 42167 52072 54832 78108 82248 84334 86381 104144 126501 156216 164496 168668 172762 253002 259143 312432 337336 345524 506004 518286 674672 691048 969841 1012008 1036572 1382096 1939682 1986763 2024016 2073144 2909523 3879364 3973526 4146288 5819046 5960289 7758728 7947052 11638092 11920578 12870769 15517456 15894104 23276184 23841156 24445823 25741538 31788208 38612307 46552368 47682312 48891646 51483076 73337469 77224614 95364624 97783292 102966152 146674938 154449228 195566584 205932304 293349876 296027687 308898456 391133168 562253929 586699752 592055374 617796912 888083061 1124507858 1173399504 1184110748 1686761787 1776166122 2249015716 2368221496 3373523574 3552332244 3642427627 4498031432 4736442992 6747047148 7104664488 7284855254 8996062864 10927282881 13494094296 14209328976 14569710508 21854565762 26988188592 29139421016 43709131524 58278842032 83775835421 87418263048 167551670842 174836526096 251327506263 335103341684 502655012526 670206683368 1005310025052 1340413366736 2010620050104 4021240100208