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22040141040 = 2433523343793
BaseRepresentation
bin10100100001101100…
…011101110011110000
32002220000102011122000
4110201230131303300
5330114234003130
614043004414000
71410114051651
oct244154356360
962800364560
1022040141040
1193900a31a5
124331247300
132103267a98
1410d122d528
1588ee0c260
hex521b1dcf0

22040141040 has 160 divisors (see below), whose sum is σ = 76243602240. Its totient is φ = 5852012544.

The previous prime is 22040141029. The next prime is 22040141041. The reversal of 22040141040 is 4014104022.

22040141040 is a `hidden beast` number, since 220 + 401 + 4 + 1 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22040141041) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 481384 + ... + 525176.

It is an arithmetic number, because the mean of its divisors is an integer number (476522514).

Almost surely, 222040141040 is an apocalyptic number.

22040141040 is a gapful number since it is divisible by the number (20) 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 22040141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38121801120).

22040141040 is an abundant number, since it is smaller than the sum of its proper divisors (54203461200).

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

22040141040 is a wasteful number, since it uses less digits than its factorization.

22040141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44048 (or 44036 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22040141040 its reverse (4014104022), we get a palindrome (26054245062).

The spelling of 22040141040 in words is "twenty-two billion, forty million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 233 240 270 360 432 466 540 699 720 932 1080 1165 1398 1864 2097 2160 2330 2796 3495 3728 4194 4660 5592 6291 6990 8388 9320 10485 11184 12582 13980 16776 18640 20970 25164 27960 31455 33552 41940 43793 50328 55920 62910 83880 87586 100656 125820 131379 167760 175172 218965 251640 262758 350344 394137 437930 503280 525516 656895 700688 788274 875860 1051032 1182411 1313790 1576548 1751720 1970685 2102064 2364822 2627580 3153096 3503440 3941370 4729644 5255160 5912055 6306192 7882740 9459288 10203769 10510320 11824110 15765480 18918576 20407538 23648220 30611307 31530960 40815076 47296440 51018845 61222614 81630152 91833921 94592880 102037690 122445228 153056535 163260304 183667842 204075380 244890456 275501763 306113070 367335684 408150760 459169605 489780912 551003526 612226140 734671368 816301520 918339210 1102007052 1224452280 1377508815 1469342736 1836678420 2204014104 2448904560 2755017630 3673356840 4408028208 5510035260 7346713680 11020070520 22040141040