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320141130342 = 231167103702887
BaseRepresentation
bin1001010100010011110…
…01011111101001100110
31010121100012000110102120
410222021321133221212
520221122112132332
6403023143250410
732062252465065
oct4521171375146
91117305013376
10320141130342
1111385335a670
1252066749a06
132425c81b207
14116d00841dc
1584daa0632c
hex4a89e5fa66

320141130342 has 64 divisors (see below), whose sum is σ = 715798646784. Its totient is φ = 94636571040.

The previous prime is 320141130341. The next prime is 320141130343. The reversal of 320141130342 is 243031141023.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (320141130341) and next prime (320141130343).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320141130341) 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, 104023 + ... + 806909.

It is an arithmetic number, because the mean of its divisors is an integer number (11184353856).

Almost surely, 2320141130342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320141130342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357899323392).

320141130342 is an abundant number, since it is smaller than the sum of its proper divisors (395657516442).

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

320141130342 is a wasteful number, since it uses less digits than its factorization.

320141130342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703073.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 320141130342 its reverse (243031141023), we get a palindrome (563172271365).

The spelling of 320141130342 in words is "three hundred twenty billion, one hundred forty-one million, one hundred thirty thousand, three hundred forty-two".

Divisors: 1 2 3 6 11 22 33 66 67 103 134 201 206 309 402 618 737 1133 1474 2211 2266 3399 4422 6798 6901 13802 20703 41406 75911 151822 227733 455466 702887 1405774 2108661 4217322 7731757 15463514 23195271 46390542 47093429 72397361 94186858 141280287 144794722 217192083 282560574 434384166 518027719 796370971 1036055438 1554083157 1592741942 2389112913 3108166314 4778225826 4850623187 9701246374 14551869561 29103739122 53356855057 106713710114 160070565171 320141130342