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1434303011344 = 247196771141689
BaseRepresentation
bin10100110111110011000…
…111110001101000010000
312002010012001011022201111
4110313303013301220100
5141444423032330334
63014524255143104
7205424236303330
oct24676307615020
95063161138644
101434303011344
11503314726445
121b1b89214a94
13a533c604018
144d5c63230c0
1527499915064
hex14df31f1a10

1434303011344 has 160 divisors (see below), whose sum is σ = 3440822630400. Its totient is φ = 565573155840.

The previous prime is 1434303011333. The next prime is 1434303011389. The reversal of 1434303011344 is 4431103034341.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10052052 + ... + 10193740.

It is an arithmetic number, because the mean of its divisors is an integer number (21505141440).

Almost surely, 21434303011344 is an apocalyptic number.

1434303011344 is a gapful number since it is divisible by the number (14) 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 1434303011344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1720411315200).

1434303011344 is an abundant number, since it is smaller than the sum of its proper divisors (2006519619056).

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

1434303011344 is a wasteful number, since it uses less digits than its factorization.

1434303011344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141861 (or 141855 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

Adding to 1434303011344 its reverse (4431103034341), we get a palindrome (5865406045685).

The spelling of 1434303011344 in words is "one trillion, four hundred thirty-four billion, three hundred three million, eleven thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 67 71 76 112 133 134 142 152 266 268 284 304 469 497 532 536 568 938 994 1064 1072 1136 1273 1349 1876 1988 2128 2546 2698 3752 3976 4757 5092 5396 7504 7952 8911 9443 9514 10184 10792 17822 18886 19028 20368 21584 33299 35644 37772 38056 66598 71288 75544 76112 90383 133196 141689 142576 151088 180766 266392 283378 361532 532784 566756 632681 723064 991823 1133512 1265362 1446128 1983646 2267024 2530724 2692091 3967292 5061448 5384182 7934584 9493163 10059919 10122896 10768364 15869168 18844637 18986326 20119838 21536728 37689274 37972652 40239676 43073456 66452141 70419433 75378548 75945304 80479352 132904282 140838866 150757096 151890608 160958704 180370097 191138461 265808564 281677732 301514192 360740194 382276922 531617128 563355464 674014573 721480388 764553844 1063234256 1126710928 1262590679 1337969227 1348029146 1442960776 1529107688 2525181358 2675938454 2696058292 2885921552 3058215376 4718102011 5050362716 5351876908 5392116584 9436204022 10100725432 10703753816 10784233168 12806276887 18872408044 20201450864 21407507632 25612553774 37744816088 51225107548 75489632176 89643938209 102450215096 179287876418 204900430192 358575752836 717151505672 1434303011344