Search a number
-
+
141334502332332 = 223337479109166877
BaseRepresentation
bin100000001000101100000000…
…110011100101011110101100
3200112102110001110211002001210
4200020230000303211132230
5122011111030044113312
61220332101331234420
741525036502662601
oct4010540063453654
9615373043732053
10141334502332332
1141040697a90381
1213a276a6a48a10
1360b2a2b8b21aa
1426c88aac366a8
15115167c439e3c
hex808b00ce57ac

141334502332332 has 96 divisors (see below), whose sum is σ = 331758366750720. Its totient is φ = 46829977850880.

The previous prime is 141334502332313. The next prime is 141334502332333. The reversal of 141334502332332 is 233233205433141.

It is not an unprimeable number, because it can be changed into a prime (141334502332333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2113316478 + ... + 2113383354.

It is an arithmetic number, because the mean of its divisors is an integer number (3455816320320).

Almost surely, 2141334502332332 is an apocalyptic number.

141334502332332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141334502332332 is an abundant number, since it is smaller than the sum of its proper divisors (190423864418388).

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

141334502332332 is a wasteful number, since it uses less digits than its factorization.

141334502332332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68791 (or 68789 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 39.

Adding to 141334502332332 its reverse (233233205433141), we get a palindrome (374567707765473).

The spelling of 141334502332332 in words is "one hundred forty-one trillion, three hundred thirty-four billion, five hundred two million, three hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 337 479 674 958 1011 1091 1348 1437 1916 2022 2182 2874 3273 4044 4364 5748 6546 13092 66877 133754 161423 200631 267508 322846 367667 401262 484269 522589 645692 735334 802524 968538 1045178 1103001 1470668 1567767 1937076 2090356 2206002 3135534 4412004 6271068 22537549 32034083 45075098 64068166 67612647 72962807 90150196 96102249 128136332 135225294 145925614 176112493 192204498 218888421 270450588 291851228 352224986 384408996 437776842 528337479 704449972 875553684 1056674958 2113349916 10795485971 21590971942 24588465959 32386457913 34949184553 43181943884 49176931918 64772915826 69898369106 73765397877 98353863836 104847553659 129545831652 139796738212 147530795754 209695107318 295061591508 419390214636 11777875194361 23555750388722 35333625583083 47111500777444 70667251166166 141334502332332