Search a number
-
+
142221629310 = 2355910926763
BaseRepresentation
bin1000010001110100010…
…0011101011101111110
3111121002200002100020020
42010131010131131332
54312232214114220
6145200303033010
713163245621455
oct2043504353576
9447080070206
10142221629310
1155352447122
122369189b766
1310546c27557
146c526d9b9c
153a75cb2040
hex211d11d77e

142221629310 has 96 divisors (see below), whose sum is σ = 350382775680. Its totient is φ = 36935450496.

The previous prime is 142221629299. The next prime is 142221629317. The reversal of 142221629310 is 13926122241.

It is a super-2 number, since 2×1422216293102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142221629317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21025989 + ... + 21032751.

It is an arithmetic number, because the mean of its divisors is an integer number (3649820580).

Almost surely, 2142221629310 is an apocalyptic number.

142221629310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142221629310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175191387840).

142221629310 is an abundant number, since it is smaller than the sum of its proper divisors (208161146370).

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

142221629310 is a wasteful number, since it uses less digits than its factorization.

142221629310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7050 (or 6941 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 142221629310 in words is "one hundred forty-two billion, two hundred twenty-one million, six hundred twenty-nine thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 59 109 118 177 218 295 327 354 545 590 654 885 1090 1635 1770 3270 6431 6763 11881 12862 13526 19293 20289 23762 32155 33815 35643 38586 40578 59405 64310 67630 71286 96465 101445 118810 178215 192930 202890 356430 399017 700979 737167 798034 1197051 1401958 1474334 1995085 2102937 2211501 2394102 3504895 3685835 3990170 4205874 4423002 5985255 7009790 7371670 10514685 11057505 11970510 21029370 22115010 43492853 80351203 86985706 130478559 160702406 217464265 241053609 260957118 401756015 434928530 482107218 652392795 803512030 1205268045 1304785590 2410536090 4740720977 9481441954 14222162931 23703604885 28444325862 47407209770 71110814655 142221629310