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4020321144 = 2337611273089
BaseRepresentation
bin1110111110100001…
…0011101101111000
3101101011221110211010
43233220103231320
531213200234034
61502533233520
7201425110620
oct35750235570
911334843733
104020321144
111783403864
129424928a0
134c0bb8068
142a1d23880
15187e3b3e9
hexefa13b78

4020321144 has 128 divisors (see below), whose sum is σ = 11770675200. Its totient is φ = 1120573440.

The previous prime is 4020321121. The next prime is 4020321167. The reversal of 4020321144 is 4411230204.

It is an interprime number because it is at equal distance from previous prime (4020321121) and next prime (4020321167).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 4020321144.

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, 1299952 + ... + 1303040.

It is an arithmetic number, because the mean of its divisors is an integer number (91958400).

Almost surely, 24020321144 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 4020321144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5885337600).

4020321144 is an abundant number, since it is smaller than the sum of its proper divisors (7750354056).

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

4020321144 is a wasteful number, since it uses less digits than its factorization.

4020321144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293 (or 3289 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 4020321144 is about 63406.0024287922. The cubic root of 4020321144 is about 1590.0846630287.

Adding to 4020321144 its reverse (4411230204), we get a palindrome (8431551348).

The spelling of 4020321144 in words is "four billion, twenty million, three hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 127 168 183 244 254 366 381 427 488 508 732 762 854 889 1016 1281 1464 1524 1708 1778 2562 2667 3048 3089 3416 3556 5124 5334 6178 7112 7747 9267 10248 10668 12356 15494 18534 21336 21623 23241 24712 30988 37068 43246 46482 54229 61976 64869 74136 86492 92964 108458 129738 162687 172984 185928 188429 216916 259476 325374 376858 392303 433832 518952 565287 650748 753716 784606 1130574 1176909 1301496 1319003 1507432 1569212 2261148 2353818 2638006 2746121 3138424 3957009 4522296 4707636 5276012 5492242 7914018 8238363 9415272 10552024 10984484 15828036 16476726 21968968 23930483 31656072 32953452 47860966 65906904 71791449 95721932 143582898 167513381 191443864 287165796 335026762 502540143 574331592 670053524 1005080286 1340107048 2010160572 4020321144