Search a number
-
+
24131132342320 = 2454334920879631
BaseRepresentation
bin1010111110010011101111…
…00100100100000000110000
310011102220200002210101212011
411133021313210210000300
511130331024334423240
6123153404505212304
75040262645400653
oct537116744440060
9104386602711764
1024131132342320
117763a57123333
122858937491094
13106072c749b23
145d5d4b1c389a
152bca8d2c86ea
hex15f277924030

24131132342320 has 160 divisors (see below), whose sum is σ = 57607712870400. Its totient is φ = 9395482844160.

The previous prime is 24131132342269. The next prime is 24131132342371. The reversal of 24131132342320 is 2324323113142.

24131132342320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (24131132342269) and next prime (24131132342371).

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, 2505563905 + ... + 2505573535.

It is an arithmetic number, because the mean of its divisors is an integer number (360048205440).

Almost surely, 224131132342320 is an apocalyptic number.

24131132342320 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 24131132342320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28803856435200).

24131132342320 is an abundant number, since it is smaller than the sum of its proper divisors (33476580528080).

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

24131132342320 is a wasteful number, since it uses less digits than its factorization.

24131132342320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12123 (or 12117 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 24131132342320 its reverse (2324323113142), we get a palindrome (26455455455462).

The spelling of 24131132342320 in words is "twenty-four trillion, one hundred thirty-one billion, one hundred thirty-two million, three hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 349 430 688 698 860 1396 1720 1745 2087 2792 3440 3490 4174 5584 6980 8348 9631 10435 13960 15007 16696 19262 20870 27920 30014 33392 38524 41740 48155 60028 75035 77048 83480 89741 96310 120056 150070 154096 166960 179482 192620 240112 300140 358964 385240 414133 448705 600280 717928 728363 770480 828266 897410 1200560 1435856 1456726 1656532 1794820 2070665 2913452 3313064 3361219 3589640 3641815 4141330 5826904 6626128 6722438 7179280 7283630 8282660 11653808 13444876 14567260 16565320 16806095 20099897 26889752 29134520 31319609 33130640 33612190 40199794 53779504 58269040 62639218 67224380 80399588 100499485 125278436 134448760 144532417 156598045 160799176 200998970 250556872 268897520 289064834 313196090 321598352 401997940 501113744 578129668 626392180 722662085 803995880 864295571 1156259336 1252784360 1445324170 1607991760 1728591142 2312518672 2505568720 2890648340 3457182284 4321477855 5781296680 6914364568 7014864053 8642955710 11562593360 13828729136 14029728106 17285911420 28059456212 34571822840 35074320265 56118912424 69143645680 70148640530 112237824848 140297281060 280594562120 301639154279 561189124240 603278308558 1206556617116 1508195771395 2413113234232 3016391542790 4826226468464 6032783085580 12065566171160 24131132342320