Search a number
-
+
141961842 = 233112310391
BaseRepresentation
bin10000111011000…
…10101001110010
3100220010102001000
420131202221302
5242320234332
622030422430
73342440631
oct1035425162
9326112030
10141961842
1173152040
123b661a16
13235462b9
1414bd5518
15c6e2b7c
hex8762a72

141961842 has 64 divisors (see below), whose sum is σ = 359147520. Its totient is φ = 41144400.

The previous prime is 141961829. The next prime is 141961843. The reversal of 141961842 is 248169141.

It is a junction number, because it is equal to n+sod(n) for n = 141961797 and 141961806.

It is not an unprimeable number, because it can be changed into a prime (141961843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8467 + ... + 18857.

It is an arithmetic number, because the mean of its divisors is an integer number (5611680).

Almost surely, 2141961842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141961842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179573760).

141961842 is an abundant number, since it is smaller than the sum of its proper divisors (217185678).

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

141961842 is a wasteful number, since it uses less digits than its factorization.

141961842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10436 (or 10430 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 141961842 is about 11914.7741061256. The cubic root of 141961842 is about 521.6636094005.

The spelling of 141961842 in words is "one hundred forty-one million, nine hundred sixty-one thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 99 138 198 207 253 297 414 506 594 621 759 1242 1518 2277 4554 6831 10391 13662 20782 31173 62346 93519 114301 187038 228602 238993 280557 342903 477986 561114 685806 716979 1028709 1433958 2057418 2150937 2628923 3086127 4301874 5257846 6172254 6452811 7886769 12905622 15773538 23660307 47320614 70980921 141961842