Search a number
-
+
4351140040302 = 2331147487731957
BaseRepresentation
bin111111010100010100001…
…010000000111001101110
3120101222001102121221121000
4333110110022000321232
51032242113322242202
613130515223421130
7626234210051046
oct77242412007156
916358042557530
104351140040302
111428343134090
125a3343bb47a6
13257406926a03
1411084c374726
15782b315391c
hex3f514280e6e

4351140040302 has 128 divisors (see below), whose sum is σ = 10775194490880. Its totient is φ = 1290168535680.

The previous prime is 4351140040253. The next prime is 4351140040307. The reversal of 4351140040302 is 2030400411534.

It is a happy number.

4351140040302 is a `hidden beast` number, since 4 + 351 + 1 + 4 + 0 + 0 + 4 + 0 + 302 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4351140040307) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136140108 + ... + 136172064.

It is an arithmetic number, because the mean of its divisors is an integer number (84181206960).

Almost surely, 24351140040302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4351140040302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5387597245440).

4351140040302 is an abundant number, since it is smaller than the sum of its proper divisors (6424054450578).

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

4351140040302 is a wasteful number, since it uses less digits than its factorization.

4351140040302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36903 (or 36897 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 4351140040302 its reverse (2030400411534), we get a palindrome (6381540451836).

The spelling of 4351140040302 in words is "four trillion, three hundred fifty-one billion, one hundred forty million, forty thousand, three hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 47 54 66 94 99 141 198 282 297 423 517 594 846 1034 1269 1551 2538 3102 4653 4877 9306 9754 13959 14631 27918 29262 31957 43893 53647 63914 87786 95871 107294 131679 160941 191742 229219 263358 287613 321882 351527 458438 482823 575226 687657 703054 862839 965646 1054581 1375314 1448469 1501979 1725678 2062971 2109162 2521409 2896938 3003958 3163743 4125942 4505937 5042818 6188913 6327486 7564227 9011874 9491229 12377826 13517811 15128454 16521769 18982458 22692681 27035622 33043538 40553433 45385362 49565307 68078043 81106866 99130614 136156086 148695921 155854289 297391842 311708578 446087763 467562867 892175526 935125734 1402688601 1714397179 2805377202 3428794358 4208065803 5143191537 7325151583 8416131606 10286383074 14650303166 15429574611 21975454749 30859149222 43950909498 46288723833 65926364247 80576667413 92577447666 131852728494 161153334826 197779092741 241730002239 395558185482 483460004478 725190006717 1450380013434 2175570020151 4351140040302