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21043140014442 = 23713471515430541
BaseRepresentation
bin1001100100011011111001…
…11000101011000101101010
32202111201000121102201200110
410302031330320223011222
510224232322320430232
6112431030212515150
74301213424604530
oct462157470530552
982451017381613
1021043140014442
116783388a43327
12243a37501bab6
13b9848a02a130
1452a6c9cc4150
152675a8ad3acc
hex13237ce2b16a

21043140014442 has 128 divisors (see below), whose sum is σ = 53250939076608. Its totient is φ = 5395784544000.

The previous prime is 21043140014437. The next prime is 21043140014471. The reversal of 21043140014442 is 24441004134012.

It is a happy number.

It is a super-4 number, since 4×210431400144424 (a number of 54 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1159692 + ... + 6590232.

It is an arithmetic number, because the mean of its divisors is an integer number (416022961536).

Almost surely, 221043140014442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21043140014442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26625469538304).

21043140014442 is an abundant number, since it is smaller than the sum of its proper divisors (32207799062166).

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

21043140014442 is a wasteful number, since it uses less digits than its factorization.

21043140014442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5430764.

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 21043140014442 its reverse (24441004134012), we get a palindrome (45484144148454).

The spelling of 21043140014442 in words is "twenty-one trillion, forty-three billion, one hundred forty million, fourteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 47 78 91 94 141 151 182 273 282 302 329 453 546 611 658 906 987 1057 1222 1833 1963 1974 2114 3171 3666 3926 4277 5889 6342 7097 8554 11778 12831 13741 14194 21291 25662 27482 41223 42582 49679 82446 92261 99358 149037 184522 276783 298074 553566 645827 1291654 1937481 3874962 5430541 10861082 16291623 32583246 38013787 70597033 76027574 114041361 141194066 211791099 228082722 255235427 423582198 494179231 510470854 765706281 820011691 988358462 1482537693 1531412562 1640023382 1786647989 2460035073 2965075386 3318060551 3573295978 4920070146 5359943967 5740081837 6636121102 9954181653 10660151983 10719887934 11480163674 17220245511 19908363306 21320303966 23226423857 31980455949 34440491022 38540549477 46452847714 63960911898 69679271571 74621063881 77081098954 115621648431 139358543142 149242127762 223863191643 231243296862 269783846339 447726383286 501027143201 539567692678 809351539017 1002054286402 1503081429603 1618703078034 3006162859206 3507190002407 7014380004814 10521570007221 21043140014442