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4341530150442 = 2322383582721683
BaseRepresentation
bin111111001011010111010…
…111001100011000101010
3120101001020200220221222100
4333023113113030120222
51032112423204303232
613122245454234230
7625444110250332
oct77132727143052
916331220827870
104341530150442
11142426164a651
125a15017b5976
132565349c7454
141101b9d600c2
1577dee653c7c
hex3f2d75cc62a

4341530150442 has 96 divisors (see below), whose sum is σ = 9936057051648. Its totient is φ = 1367280449568.

The previous prime is 4341530150417. The next prime is 4341530150443. The reversal of 4341530150442 is 2440510351434.

4341530150442 is a `hidden beast` number, since 4 + 34 + 1 + 5 + 30 + 150 + 442 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4341530150397 and 4341530150406.

It is not an unprimeable number, because it can be changed into a prime (4341530150443) 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, 200216533 + ... + 200238215.

It is an arithmetic number, because the mean of its divisors is an integer number (103500594288).

Almost surely, 24341530150442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4341530150442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4968028525824).

4341530150442 is an abundant number, since it is smaller than the sum of its proper divisors (5594526901206).

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

4341530150442 is a wasteful number, since it uses less digits than its factorization.

4341530150442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27624 (or 27621 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 4341530150442 in words is "four trillion, three hundred forty-one billion, five hundred thirty million, one hundred fifty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 23 46 69 83 138 166 207 249 414 498 747 1494 1909 3818 5727 5827 11454 11654 17181 17481 21683 34362 34962 43366 52443 65049 104886 130098 134021 195147 268042 390294 402063 483641 498709 804126 967282 997418 1206189 1450923 1496127 1799689 2412378 2901846 2992254 3599378 4352769 4488381 5399067 8705538 8976762 10798134 11123743 16197201 22247486 32394402 33371229 41392847 66742458 82785694 100113687 124178541 126346841 200227374 248357082 252693682 372535623 379040523 745071246 758081046 1137121569 2274243138 2905977343 5811954686 8717932029 10486787803 17435864058 20973575606 26153796087 31460363409 52307592174 62920726818 94381090227 188762180454 241196119469 482392238938 723588358407 1447176716814 2170765075221 4341530150442