Search a number
-
+
1434452103120 = 243537646924971
BaseRepresentation
bin10100110111111100000…
…000100000111111010000
312002010120102200222012010
4110313330000200333100
5142000224214244440
63014551142502520
7205431026461251
oct24677400407720
95063512628163
101434452103120
115033908a8293
121b200b134a40
13a53644756ca
144d5dc052b28
15274a7a65580
hex14dfc020fd0

1434452103120 has 160 divisors (see below), whose sum is σ = 4567874244480. Its totient is φ = 372109731840.

The previous prime is 1434452103079. The next prime is 1434452103131. The reversal of 1434452103120 is 213012544341.

It is a super-2 number, since 2×14344521031202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 57432235 + ... + 57457205.

It is an arithmetic number, because the mean of its divisors is an integer number (28549214028).

Almost surely, 21434452103120 is an apocalyptic number.

1434452103120 is a gapful number since it is divisible by the number (10) 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 1434452103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283937122240).

1434452103120 is an abundant number, since it is smaller than the sum of its proper divisors (3133422141360).

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

1434452103120 is a wasteful number, since it uses less digits than its factorization.

1434452103120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31493 (or 31487 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1434452103120 its reverse (213012544341), we get a palindrome (1647464647461).

The spelling of 1434452103120 in words is "one trillion, four hundred thirty-four billion, four hundred fifty-two million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 6469 8880 12938 19407 24971 25876 32345 38814 49942 51752 64690 74913 77628 97035 99884 103504 124855 129380 149826 155256 194070 199768 239353 249710 258760 299652 310512 374565 388140 399536 478706 499420 517520 599304 718059 749130 776280 923927 957412 998840 1196765 1198608 1436118 1498260 1552560 1847854 1914824 1997680 2393530 2771781 2872236 2996520 3590295 3695708 3829648 4619635 4787060 5543562 5744472 5993040 7180590 7391416 9239270 9574120 11087124 11488944 13858905 14361180 14782832 18478540 19148240 22174248 27717810 28722360 36957080 44348496 55435620 57444720 73914160 110871240 161537399 221742480 323074798 484612197 646149596 807686995 969224394 1292299192 1615373990 1938448788 2423060985 2584598384 3230747980 3876897576 4846121970 5976883763 6461495960 7753795152 9692243940 11953767526 12922991920 17930651289 19384487880 23907535052 29884418815 35861302578 38768975760 47815070104 59768837630 71722605156 89653256445 95630140208 119537675260 143445210312 179306512890 239075350520 286890420624 358613025780 478150701040 717226051560 1434452103120