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23442214402002 = 231113125111239619
BaseRepresentation
bin1010101010010000100001…
…10111001011011111010010
310002000001110020010222002010
411111020100313023133102
511033034123341331002
6121505112111003350
74636433632462224
oct525102067133722
9102001406128063
1023442214402002
117518872990150
122767312209556
13101078c209266
145b0875a30414
152a9bbc0be46c
hex155210dcb7d2

23442214402002 has 128 divisors (see below), whose sum is σ = 51793868206080. Its totient is φ = 7014407400000.

The previous prime is 23442214401979. The next prime is 23442214402093. The reversal of 23442214402002 is 20020441224432.

It is a happy number.

It is a super-3 number, since 3×234422144020023 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2437069149 + ... + 2437078767.

It is an arithmetic number, because the mean of its divisors is an integer number (404639595360).

Almost surely, 223442214402002 is an apocalyptic number.

23442214402002 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 23442214402002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25896934103040).

23442214402002 is an abundant number, since it is smaller than the sum of its proper divisors (28351653804078).

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

23442214402002 is a wasteful number, since it uses less digits than its factorization.

23442214402002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11140.

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 23442214402002 its reverse (20020441224432), we get a palindrome (43462655626434).

The spelling of 23442214402002 in words is "twenty-three trillion, four hundred forty-two billion, two hundred fourteen million, four hundred two thousand, two".

Divisors: 1 2 3 6 11 22 33 66 131 251 262 393 502 753 786 1123 1441 1506 2246 2761 2882 3369 4323 5522 6738 8283 8646 9619 12353 16566 19238 24706 28857 32881 37059 57714 65762 74118 98643 105809 147113 197286 211618 281873 294226 317427 361691 441339 563746 634854 723382 845619 882678 1085073 1260089 1618243 1691238 2170146 2414369 2520178 3100603 3236486 3780267 4828738 4854729 6201206 7243107 7560534 9301809 9709458 10802137 13860979 14486214 18603618 21604274 26558059 27721958 32406411 36925363 41582937 53116118 64812822 73850726 79674177 83165874 110776089 118823507 159348354 221552178 237647014 316282339 356470521 406178993 632564678 712941042 812357986 948847017 1218536979 1415079947 1897694034 2437073958 2711336387 2830159894 3479105729 4245239841 5422672774 6958211458 8134009161 8490479682 10437317187 15565879417 16268018322 20874634374 29824700257 31131758834 46697638251 59649400514 89474100771 93395276502 178948201542 355185066697 710370133394 1065555200091 2131110400182 3907035733667 7814071467334 11721107201001 23442214402002