Search a number
-
+
21444001949640 = 23351935926198507
BaseRepresentation
bin1001110000000110100100…
…00111100110011111001000
32210221000201100212221111010
410320003102013212133020
510302314303444342030
6113335123303203520
74342164234046254
oct470032207463710
983830640787433
1021444001949640
116918394069366
1224a3ba8a465a0
13bc72120c50aa
14541c76735264
15272c1aeda6b0
hex1380d21e67c8

21444001949640 has 128 divisors (see below), whose sum is σ = 67906532736000. Its totient is φ = 5402341525248.

The previous prime is 21444001949611. The next prime is 21444001949651. The reversal of 21444001949640 is 4694910044412.

It is a super-2 number, since 2×214440019496402 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21444001949640.

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, 12280734 + ... + 13917773.

It is an arithmetic number, because the mean of its divisors is an integer number (530519787000).

Almost surely, 221444001949640 is an apocalyptic number.

21444001949640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21444001949640 is an abundant number, since it is smaller than the sum of its proper divisors (46462530786360).

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

21444001949640 is a wasteful number, since it uses less digits than its factorization.

21444001949640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26198899 (or 26198895 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 21444001949640 in words is "twenty-one trillion, four hundred forty-four billion, one million, nine hundred forty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 359 380 456 570 718 760 1077 1140 1436 1795 2154 2280 2872 3590 4308 5385 6821 7180 8616 10770 13642 14360 20463 21540 27284 34105 40926 43080 54568 68210 81852 102315 136420 163704 204630 272840 409260 818520 26198507 52397014 78595521 104794028 130992535 157191042 209588056 261985070 314382084 392977605 497771633 523970140 628764168 785955210 995543266 1047940280 1493314899 1571910420 1991086532 2488858165 2986629798 3143820840 3982173064 4977716330 5973259596 7466574495 9405264013 9955432660 11946519192 14933148990 18810528026 19910865320 28215792039 29866297980 37621056052 47026320065 56431584078 59732595960 75242112104 94052640130 112863168156 141078960195 178700016247 188105280260 225726336312 282157920390 357400032494 376210560520 536100048741 564315840780 714800064988 893500081235 1072200097482 1128631681560 1429600129976 1787000162470 2144400194964 2680500243705 3574000324940 4288800389928 5361000487410 7148000649880 10722000974820 21444001949640