Search a number
-
+
142342256061132 = 2231910110163608213
BaseRepresentation
bin100000010111010110100011…
…100110111110101011001100
3200122222210020120020201212120
4200113112203212332223030
5122124113420022424012
61222423044003132540
741660613541230141
oct4027264346765314
9618883216221776
10142342256061132
114139a0147674a6
1213b6aa71674150
136156a8138572a
14272158ad5c3c8
15116c9ae75258c
hex8175a39beacc

142342256061132 has 96 divisors (see below), whose sum is σ = 353109390923520. Its totient is φ = 44500682476800.

The previous prime is 142342256061079. The next prime is 142342256061139. The reversal of 142342256061132 is 231160652243241.

It is a super-2 number, since 2×1423422560611322 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (142342256061139) 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, 233729458 + ... + 234337670.

It is an arithmetic number, because the mean of its divisors is an integer number (3678222822120).

Almost surely, 2142342256061132 is an apocalyptic number.

142342256061132 is a gapful number since it is divisible by the number (12) 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 142342256061132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176554695461760).

142342256061132 is an abundant number, since it is smaller than the sum of its proper divisors (210767134862388).

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

142342256061132 is a wasteful number, since it uses less digits than its factorization.

142342256061132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 618503 (or 618501 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The spelling of 142342256061132 in words is "one hundred forty-two trillion, three hundred forty-two billion, two hundred fifty-six million, sixty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 101 114 202 228 303 404 606 1212 1919 3838 5757 7676 10163 11514 20326 23028 30489 40652 60978 121956 193097 386194 579291 608213 772388 1026463 1158582 1216426 1824639 2052926 2317164 2432852 3079389 3649278 4105852 6158778 7298556 11556047 12317556 19502797 23112094 34668141 39005594 46224188 58508391 61429513 69336282 78011188 117016782 122859026 138672564 184288539 234033564 245718052 368577078 737154156 1167160747 2334321494 3501482241 4668642988 6181268719 7002964482 12362537438 14005928964 18543806157 24725074876 37087612314 74175224628 117444105661 234888211322 352332316983 469776422644 624308140619 704664633966 1248616281238 1409329267932 1872924421857 2497232562476 3745848843714 7491697687428 11861854671761 23723709343522 35585564015283 47447418687044 71171128030566 142342256061132