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142334401660 = 225118970910253
BaseRepresentation
bin1000010010001111001…
…0101001110001111100
3111121101112021202210221
42010203302221301330
54313000101323120
6145215412111124
713166115311023
oct2044362516174
9447345252727
10142334401660
1155400071710
12237036054a4
13105643c0759
146c636938ba
153a80b3b0aa
hex2123ca9c7c

142334401660 has 96 divisors (see below), whose sum is σ = 330236222400. Its totient is φ = 51099248640.

The previous prime is 142334401633. The next prime is 142334401661. The reversal of 142334401660 is 66104433241.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142334401661) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13877094 + ... + 13887346.

It is an arithmetic number, because the mean of its divisors is an integer number (3439960650).

Almost surely, 2142334401660 is an apocalyptic number.

142334401660 is a gapful number since it is divisible by the number (10) 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 142334401660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165118111200).

142334401660 is an abundant number, since it is smaller than the sum of its proper divisors (187901820740).

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

142334401660 is a wasteful number, since it uses less digits than its factorization.

142334401660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11071 (or 11069 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The spelling of 142334401660 in words is "one hundred forty-two billion, three hundred thirty-four million, four hundred one thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 110 178 220 356 445 709 890 979 1418 1780 1958 2836 3545 3916 4895 7090 7799 9790 10253 14180 15598 19580 20506 31196 38995 41012 51265 63101 77990 102530 112783 126202 155980 205060 225566 252404 315505 451132 563915 631010 694111 912517 1127830 1262020 1388222 1825034 2255660 2776444 3470555 3650068 4562585 6941110 7269377 9125170 10037687 13882220 14538754 18250340 20075374 29077508 36346885 40150748 50188435 72693770 79963147 100376870 145387540 159926294 200753740 319852588 399815735 646974553 799631470 1293949106 1599262940 2587898212 3234872765 6469745530 7116720083 12939491060 14233440166 28466880332 35583600415 71167200830 142334401660