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24255033055242 = 231119127835318233
BaseRepresentation
bin1011000001111010100001…
…01000010001100000001010
310011212202110221211202112120
411200331100220101200022
511134343301430231432
6123330335223352110
75052240221154153
oct540752050214012
9104782427752476
1024255033055242
117801557917840
1228789555b2636
13106c316b01742
145dbd425d692a
152c0de0940c2c
hex160f50a1180a

24255033055242 has 128 divisors (see below), whose sum is σ = 56153764823040. Its totient is φ = 6907133399040.

The previous prime is 24255033055241. The next prime is 24255033055243.

24255033055242 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (24255033055241) and next prime (24255033055243).

It is a junction number, because it is equal to n+sod(n) for n = 24255033055194 and 24255033055203.

It is not an unprimeable number, because it can be changed into a prime (24255033055241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1330272958 + ... + 1330291190.

It is an arithmetic number, because the mean of its divisors is an integer number (438701287680).

Almost surely, 224255033055242 is an apocalyptic number.

24255033055242 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 24255033055242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28076882411520).

24255033055242 is an abundant number, since it is smaller than the sum of its proper divisors (31898731767798).

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

24255033055242 is a wasteful number, since it uses less digits than its factorization.

24255033055242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26748.

The product of its (nonzero) digits is 1440000, while the sum is 42.

The spelling of 24255033055242 in words is "twenty-four trillion, two hundred fifty-five billion, thirty-three million, fifty-five thousand, two hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 127 209 254 381 418 627 762 1254 1397 2413 2794 4191 4826 7239 8353 8382 14478 16706 18233 25059 26543 36466 50118 53086 54699 79629 91883 109398 158707 159258 183766 200563 275649 317414 346427 401126 476121 551298 601689 692854 952242 1039281 1060831 1203378 1745777 2078562 2121662 2315591 3182493 3491554 3810697 4631182 5237331 6364986 6946773 7621394 10474662 11432091 11669141 13893546 20155789 22864182 23338282 25471501 35007423 40311578 43996229 50943002 60467367 70014846 76414503 87992458 120934734 131988687 152300249 152829006 221713679 263977374 304600498 443427358 456900747 483958519 665141037 913801494 967917038 1330282074 1451875557 1675302739 2893704731 2903751114 3350605478 5025908217 5787409462 8681114193 10051816434 17362228386 19342131623 31830752041 38684263246 58026394869 63661504082 95492256123 116052789738 190984512246 212763447853 367500500837 425526895706 638290343559 735001001674 1102501502511 1276580687118 2205003005022 4042505509207 8085011018414 12127516527621 24255033055242