Search a number
-
+
4021233042320 = 2451379330114827
BaseRepresentation
bin111010100001000100001…
…010101100001110010000
3112020102111122102000020222
4322201010022230032100
51011340441124323240
612315155015452212
7563344621614434
oct72410412541620
915212448360228
104021233042320
11131043924562a
1254b412987068
1323227ba964c0
14dc8b32b69c4
156e9050dbeb5
hex3a8442ac390

4021233042320 has 160 divisors (see below), whose sum is σ = 10199775505920. Its totient is φ = 1465425561600.

The previous prime is 4021233042319. The next prime is 4021233042341. The reversal of 4021233042320 is 232403321204.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 4021233042320.

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, 271202747 + ... + 271217573.

It is an arithmetic number, because the mean of its divisors is an integer number (63748596912).

Almost surely, 24021233042320 is an apocalyptic number.

4021233042320 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 4021233042320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5099887752960).

4021233042320 is an abundant number, since it is smaller than the sum of its proper divisors (6178542463600).

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

4021233042320 is a wasteful number, since it uses less digits than its factorization.

4021233042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18233 (or 18227 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 4021233042320 its reverse (232403321204), we get a palindrome (4253636363524).

It can be divided in two parts, 402123 and 3042320, that added together give a palindrome (3444443).

The spelling of 4021233042320 in words is "four trillion, twenty-one billion, two hundred thirty-three million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 79 80 104 130 158 208 260 316 395 520 632 790 1027 1040 1264 1580 2054 3160 3301 4108 5135 6320 6602 8216 10270 13204 14827 16432 16505 20540 26408 29654 33010 41080 42913 52816 59308 66020 74135 82160 85826 118616 132040 148270 171652 192751 214565 237232 260779 264080 296540 343304 385502 429130 521558 593080 686608 771004 858260 963755 1043116 1171333 1186160 1303895 1542008 1716520 1927510 2086232 2342666 2607790 3084016 3390127 3433040 3855020 4172464 4685332 5215580 5856665 6780254 7710040 9370664 10431160 11713330 13560508 15227329 15420080 16950635 18741328 20862320 23426660 27121016 30454658 33901270 46853320 48943927 54242032 60909316 67802540 76136645 93706640 97887854 121818632 135605080 152273290 195775708 243637264 244719635 271210160 304546580 391551416 489439270 609093160 636271051 783102832 978878540 1218186320 1272542102 1957757080 2545084204 3181355255 3866570233 3915514160 5090168408 6362710510 7733140466 10180336816 12725421020 15466280932 19332851165 25450842040 30932561864 38665702330 50265413029 50901684080 61865123728 77331404660 100530826058 154662809320 201061652116 251327065145 309325618640 402123304232 502654130290 804246608464 1005308260580 2010616521160 4021233042320