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4021232323104 = 253279910919403
BaseRepresentation
bin111010100001000100000…
…111111100101000100000
3112020102111121001110200100
4322201010013330220200
51011340440433314404
612315154552222400
7563344612530543
oct72410407745040
915212447043610
104021232323104
1113104388a4237
1254b41269aa00
1323227b8a4029
14dc8b316a85a
156e904ee8d39
hex3a8441fca20

4021232323104 has 144 divisors (see below), whose sum is σ = 11581999228800. Its totient is φ = 1323230059008.

The previous prime is 4021232323001. The next prime is 4021232323151. The reversal of 4021232323104 is 4013232321204.

4021232323104 is a `hidden beast` number, since 4 + 0 + 2 + 1 + 232 + 323 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 207238267 + ... + 207257669.

It is an arithmetic number, because the mean of its divisors is an integer number (80430550200).

Almost surely, 24021232323104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4021232323104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5790999614400).

4021232323104 is an abundant number, since it is smaller than the sum of its proper divisors (7560766905696).

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

4021232323104 is a wasteful number, since it uses less digits than its factorization.

4021232323104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28607 (or 28596 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 4021232323104 its reverse (4013232321204), we get a palindrome (8034464644308).

The spelling of 4021232323104 in words is "four trillion, twenty-one billion, two hundred thirty-two million, three hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 79 96 144 158 237 288 316 474 632 711 948 1264 1422 1896 2528 2844 3792 5688 7584 9109 11376 18218 19403 22752 27327 36436 38806 54654 58209 72872 77612 81981 109308 116418 145744 155224 163962 174627 218616 232836 291488 310448 327924 349254 437232 465672 620896 655848 698508 719611 874464 931344 1311696 1397016 1439222 1532837 1862688 2158833 2623392 2794032 2878444 3065674 4317666 4598511 5588064 5756888 6131348 6476499 8635332 9197022 11513776 12262696 12952998 13795533 17270664 18394044 23027552 24525392 25905996 27591066 34541328 36788088 49050784 51811992 55182132 69082656 73576176 103623984 110364264 147152352 176741927 207247968 220728528 353483854 441457056 530225781 706967708 1060451562 1413935416 1590677343 2120903124 2827870832 3181354686 4241806248 5655741664 6362709372 8483612496 12725418744 13962612233 16967224992 25450837488 27925224466 41887836699 50901674976 55850448932 83775673398 111700897864 125663510097 167551346796 223401795728 251327020194 335102693592 446803591456 502654040388 670205387184 1005308080776 1340410774368 2010616161552 4021232323104