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1434421141340 = 2251123733138669
BaseRepresentation
bin10100110111111010001…
…010011001111101011100
312002010111021102221121112
4110313322022121331130
5142000143303010330
63014544115121152
7205430202345545
oct24677212317534
95063437387545
101434421141340
11503375380240
121b20008a31b8
13a535ac24a25
144d5d7cb34cc
15274a4e9b795
hex14dfa299f5c

1434421141340 has 96 divisors (see below), whose sum is σ = 3429560010240. Its totient is φ = 498848134400.

The previous prime is 1434421141319. The next prime is 1434421141367. The reversal of 1434421141340 is 431411244341.

It is a junction number, because it is equal to n+sod(n) for n = 1434421141297 and 1434421141306.

It is a congruent 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, 37075526 + ... + 37114194.

It is an arithmetic number, because the mean of its divisors is an integer number (35724583440).

Almost surely, 21434421141340 is an apocalyptic number.

1434421141340 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 1434421141340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714780005120).

1434421141340 is an abundant number, since it is smaller than the sum of its proper divisors (1995138868900).

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

1434421141340 is a wasteful number, since it uses less digits than its factorization.

1434421141340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46043 (or 46041 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 1434421141340 its reverse (431411244341), we get a palindrome (1865832385681).

The spelling of 1434421141340 in words is "one trillion, four hundred thirty-four billion, four hundred twenty-one million, one hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 460 506 1012 1265 2530 5060 7331 14662 29324 36655 38669 73310 77338 80641 146620 154676 161282 168613 193345 322564 337226 386690 403205 425359 674452 773380 806410 843065 850718 889387 1612820 1686130 1701436 1778774 1854743 2126795 3372260 3557548 3709486 4253590 4446935 7418972 8507180 8893870 9273715 9783257 17787740 18547430 19566514 37094860 39133028 48916285 97832570 195665140 283482439 566964878 1133929756 1417412195 2834824390 3118306829 5669648780 6236613658 6520096097 12473227316 13040192194 15591534145 26080384388 31183068290 32600480485 62366136580 65200960970 71721057067 130401921940 143442114134 286884228268 358605285335 717210570670 1434421141340