Search a number
-
+
1350441030432 = 253132644912907
BaseRepresentation
bin10011101001101100100…
…011101101001100100000
311210002201120001021212110
4103221230203231030200
5134111200400433212
62512214541555320
7166365121235214
oct23515443551440
94702646037773
101350441030432
1148079a8349aa
12199883b75b40
139a466343300
144950c6c0944
15251dc385a3c
hex13a6c8ed320

1350441030432 has 144 divisors (see below), whose sum is σ = 3839461365600. Its totient is φ = 415423696896.

The previous prime is 1350441030431. The next prime is 1350441030439. The reversal of 1350441030432 is 2340301440531.

It is a self number, because there is not a number n which added to its sum of digits gives 1350441030432.

It is not an unprimeable number, because it can be changed into a prime (1350441030431) by changing a digit.

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, 104622123 + ... + 104635029.

It is an arithmetic number, because the mean of its divisors is an integer number (26662926150).

Almost surely, 21350441030432 is an apocalyptic number.

1350441030432 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 1350441030432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919730682800).

1350441030432 is an abundant number, since it is smaller than the sum of its proper divisors (2489020335168).

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

1350441030432 is a wasteful number, since it uses less digits than its factorization.

1350441030432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19395 (or 19374 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 1350441030432 its reverse (2340301440531), we get a palindrome (3690742470963).

The spelling of 1350441030432 in words is "one trillion, three hundred fifty billion, four hundred forty-one million, thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 2028 2704 4056 5408 6449 8112 12898 12907 16224 19347 25796 25814 38694 38721 51592 51628 77388 77442 83837 103184 103256 154776 154884 167674 167791 206368 206512 251511 309552 309768 335348 335582 413024 503022 503373 619104 619536 670696 671164 1006044 1006746 1089881 1239072 1341392 1342328 2012088 2013492 2179762 2181283 2682784 2684656 3269643 4024176 4026984 4359524 4362566 5369312 6539286 6543849 8048352 8053968 8719048 8725132 13078572 13087698 16107936 17438096 17450264 26157144 26175396 34876192 34900528 52314288 52350792 69801056 83237243 104628576 104701584 166474486 209403168 249711729 332948972 499423458 665897944 998846916 1082084159 1331795888 1997693832 2164168318 2663591776 3246252477 3995387664 4328336636 6492504954 7990775328 8656673272 12985009908 14067094067 17313346544 25970019816 28134188134 34626693088 42201282201 51940039632 56268376268 84402564402 103880079264 112536752536 168805128804 225073505072 337610257608 450147010144 675220515216 1350441030432