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14442141021320 = 2352371941234961
BaseRepresentation
bin1101001000101001001010…
…1011110111010010001000
31220010122200122021000100202
43102022102223313102020
53343110001100140240
650414343351351332
73020260501130045
oct322122253672210
956118618230322
1014442141021320
114668972112031
121752b97982548
13809b7109605c
1437d0092c61cc
151a0a1724a315
hexd2292af7488

14442141021320 has 128 divisors (see below), whose sum is σ = 34421895406080. Its totient is φ = 5442049536000.

The previous prime is 14442141021317. The next prime is 14442141021323. The reversal of 14442141021320 is 2312014124441.

It is an interprime number because it is at equal distance from previous prime (14442141021317) and next prime (14442141021323).

It is not an unprimeable number, because it can be changed into a prime (14442141021323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61348640 + ... + 61583600.

It is an arithmetic number, because the mean of its divisors is an integer number (268921057860).

Almost surely, 214442141021320 is an apocalyptic number.

14442141021320 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 14442141021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17210947703040).

14442141021320 is an abundant number, since it is smaller than the sum of its proper divisors (19979754384760).

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

14442141021320 is a wasteful number, since it uses less digits than its factorization.

14442141021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236007 (or 236003 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 14442141021320 its reverse (2312014124441), we get a palindrome (16754155145761).

The spelling of 14442141021320 in words is "fourteen trillion, four hundred forty-two billion, one hundred forty-one million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 71 92 115 142 184 230 284 355 460 568 710 920 941 1420 1633 1882 2840 3266 3764 4705 6532 7528 8165 9410 13064 16330 18820 21643 32660 37640 43286 65320 66811 86572 108215 133622 173144 216430 234961 267244 334055 432860 469922 534488 668110 865720 939844 1174805 1336220 1536653 1879688 2349610 2672440 3073306 4699220 5404103 6146612 7683265 9398440 10808206 12293224 15366530 16682231 21616412 27020515 30733060 33364462 43232824 54041030 61466120 66728924 83411155 108082060 133457848 166822310 216164120 221098301 333644620 383691313 442196602 667289240 767382626 884393204 1105491505 1534765252 1768786408 1918456565 2210983010 3069530504 3836913130 4421966020 5085260923 7673826260 8843932040 10170521846 15347652520 15697979371 20341043692 25426304615 31395958742 40682087384 50852609230 62791917484 78489896855 101705218460 125583834968 156979793710 203410436920 313959587420 361053525533 627919174840 722107051066 1444214102132 1805267627665 2888428204264 3610535255330 7221070510660 14442141021320