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14344354350040 = 23511138572926201
BaseRepresentation
bin1101000010111100111000…
…1001010100001111011000
31212210022021201101102022211
43100233032021110033120
53340004214203200130
650301412211524504
73010226321133001
oct320571611241730
955708251342284
1014344354350040
11463045208a620
1217380472b9734
13800888ca39a0
143783b01b21a8
1519d1e24b1a2a
hexd0bce2543d8

14344354350040 has 128 divisors (see below), whose sum is σ = 37961501497920. Its totient is φ = 4809268224000.

The previous prime is 14344354350031. The next prime is 14344354350083. The reversal of 14344354350040 is 4005345344341.

It is a super-2 number, since 2×143443543500402 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 14344354349975 and 14344354350002.

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, 3438940 + ... + 6365140.

Almost surely, 214344354350040 is an apocalyptic number.

14344354350040 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 14344354350040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18980750748960).

14344354350040 is an abundant number, since it is smaller than the sum of its proper divisors (23617147147880).

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

14344354350040 is a wasteful number, since it uses less digits than its factorization.

14344354350040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2927093 (or 2927089 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 14344354350040 its reverse (4005345344341), we get a palindrome (18349699694381).

The spelling of 14344354350040 in words is "fourteen trillion, three hundred forty-four billion, three hundred fifty-four million, three hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 220 260 286 440 520 572 715 857 1144 1430 1714 2860 3428 4285 5720 6856 8570 9427 11141 17140 18854 22282 34280 37708 44564 47135 55705 75416 89128 94270 111410 122551 188540 222820 245102 377080 445640 490204 612755 980408 1225510 2451020 2926201 4902040 5852402 11704804 14631005 23409608 29262010 32188211 38040613 58524020 64376422 76081226 117048040 128752844 152162452 160941055 190203065 257505688 304324904 321882110 380406130 418446743 643764220 760812260 836893486 1287528440 1521624520 1673786972 2092233715 2507754257 3347573944 4184467430 5015508514 8368934860 10031017028 12538771285 16737869720 20062034056 25077542570 27585296827 32600805341 50155085140 55170593654 65201610682 100310170280 110341187308 130403221364 137926484135 163004026705 220682374616 260806442728 275852968270 326008053410 358608858751 551705936540 652016106820 717217717502 1103411873080 1304032213640 1434435435004 1793044293755 2868870870008 3586088587510 7172177175020 14344354350040