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2423234323242 = 2322310167386111
BaseRepresentation
bin100011010000110100000…
…001010110001100101010
322120122210100220010121100
4203100310001112030222
5304200240441320432
65053115105222230
7340034001615555
oct43206401261452
98518710803540
102423234323242
11854762669117
12331780331976
13147682675875
14853dc6d969c
154307957007c
hex2343405632a

2423234323242 has 96 divisors (see below), whose sum is σ = 5541145998336. Its totient is φ = 763830144000.

The previous prime is 2423234323231. The next prime is 2423234323253.

2423234323242 is a `hidden beast` number, since 2 + 4 + 2 + 323 + 4 + 3 + 2 + 324 + 2 = 666.

2423234323242 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2423234323231) and next prime (2423234323253).

It is a super-2 number, since 2×24232343232422 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2423234323197 and 2423234323206.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28097767 + ... + 28183877.

It is an arithmetic number, because the mean of its divisors is an integer number (57720270816).

Almost surely, 22423234323242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2423234323242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770572999168).

2423234323242 is an abundant number, since it is smaller than the sum of its proper divisors (3117911675094).

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

2423234323242 is a wasteful number, since it uses less digits than its factorization.

2423234323242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86916 (or 86913 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

The spelling of 2423234323242 in words is "two trillion, four hundred twenty-three billion, two hundred thirty-four million, three hundred twenty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 101 138 202 207 303 414 606 673 909 1346 1818 2019 2323 4038 4646 6057 6969 12114 13938 15479 20907 30958 41814 46437 67973 86111 92874 135946 139311 172222 203919 258333 278622 407838 516666 611757 774999 1223514 1549998 1563379 1980553 3126758 3961106 4690137 5941659 8697211 9380274 11883318 14070411 17394422 17824977 26091633 28140822 35649954 52183266 57952703 78274899 115905406 156549798 173858109 200035853 347716218 400071706 521574327 600107559 1043148654 1200215118 1332912169 1800322677 2665824338 3600645354 3998736507 5853223003 7997473014 11706446006 11996209521 17559669009 23992419042 35119338018 52679007027 105358014054 134624129069 269248258138 403872387207 807744774414 1211617161621 2423234323242