Search a number
-
+
1401642312 = 2337193371303
BaseRepresentation
bin101001110001011…
…0101110101001000
310121200102210210020
41103202311311020
510332310023222
6351030020440
746506522510
oct12342656510
93550383706
101401642312
1165a210684
123314a7720
13194505165
14d421c840
15830bb65c
hex538b5d48

1401642312 has 128 divisors (see below), whose sum is σ = 4231219200. Its totient is φ = 377975808.

The previous prime is 1401642301. The next prime is 1401642317. The reversal of 1401642312 is 2132461041.

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

It is not an unprimeable number, because it can be changed into a prime (1401642317) 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, 1075053 + ... + 1076355.

It is an arithmetic number, because the mean of its divisors is an integer number (33056400).

Almost surely, 21401642312 is an apocalyptic number.

1401642312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1401642312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2115609600).

1401642312 is an abundant number, since it is smaller than the sum of its proper divisors (2829576888).

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

1401642312 is a wasteful number, since it uses less digits than its factorization.

1401642312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1401642312 is about 37438.5137525517. The cubic root of 1401642312 is about 1119.1262083512.

The spelling of 1401642312 in words is "one billion, four hundred one million, six hundred forty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 337 399 456 532 674 798 1011 1064 1303 1348 1596 2022 2359 2606 2696 3192 3909 4044 4718 5212 6403 7077 7818 8088 9121 9436 10424 12806 14154 15636 18242 18872 19209 24757 25612 27363 28308 31272 36484 38418 44821 49514 51224 54726 56616 72968 74271 76836 89642 99028 109452 134463 148542 153672 173299 179284 198056 218904 268926 297084 346598 358568 439111 519897 537852 594168 693196 878222 1039794 1075704 1317333 1386392 1756444 2079588 2634666 3073777 3512888 4159176 5269332 6147554 8343109 9221331 10538664 12295108 16686218 18442662 24590216 25029327 33372436 36885324 50058654 58401763 66744872 73770648 100117308 116803526 175205289 200234616 233607052 350410578 467214104 700821156 1401642312