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2313141432 = 233723753161
BaseRepresentation
bin1000100111011111…
…1011110010111000
312222012120202111220
42021313323302320
514214131011212
61021310352040
7111215243400
oct21167736270
95865522456
102313141432
11a87787438
125467bb620
132ab2c6854
1417d2cd800
15d811a38c
hex89dfbcb8

2313141432 has 96 divisors (see below), whose sum is σ = 6908933520. Its totient is φ = 643023360.

The previous prime is 2313141373. The next prime is 2313141449. The reversal of 2313141432 is 2341413132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16932 + ... + 70092.

Almost surely, 22313141432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313141432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454466760).

2313141432 is an abundant number, since it is smaller than the sum of its proper divisors (4595792088).

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

2313141432 is a wasteful number, since it uses less digits than its factorization.

2313141432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53221 (or 53210 counting only the distinct ones).

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

The square root of 2313141432 is about 48095.1289841289. The cubic root of 2313141432 is about 1322.5153735752.

Adding to 2313141432 its reverse (2341413132), we get a palindrome (4654554564).

The spelling of 2313141432 in words is "two billion, three hundred thirteen million, one hundred forty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 49 56 74 84 98 111 147 148 168 196 222 259 294 296 392 444 518 588 777 888 1036 1176 1554 1813 2072 3108 3626 5439 6216 7252 10878 14504 21756 43512 53161 106322 159483 212644 318966 372127 425288 637932 744254 1116381 1275864 1488508 1966957 2232762 2604889 2977016 3933914 4465524 5209778 5900871 7814667 7867828 8931048 10419556 11801742 13768699 15629334 15735656 20839112 23603484 27537398 31258668 41306097 47206968 55074796 62517336 82612194 96380893 110149592 165224388 192761786 289142679 330448776 385523572 578285358 771047144 1156570716 2313141432