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126351375016440 = 233571391082146069
BaseRepresentation
bin11100101110101001111000…
…110100110010000111111000
3121120101001222120101212011110
4130232221320310302013320
5113030120104001011230
61124421004222000320
735420404601103030
oct3456517064620770
9546331876355143
10126351375016440
1137294354250132
12122078aba160a0
135566b64199c82
14232b62117c8c0
15e91a511ee4b0
hex72ea78d321f8

126351375016440 has 128 divisors (see below), whose sum is σ = 436321295424000. Its totient is φ = 28672542217728.

The previous prime is 126351375016357. The next prime is 126351375016481. The reversal of 126351375016440 is 44610573153621.

It is a self number, because there is not a number n which added to its sum of digits gives 126351375016440.

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, 540956275 + ... + 541189794.

It is an arithmetic number, because the mean of its divisors is an integer number (3408760120500).

Almost surely, 2126351375016440 is an apocalyptic number.

126351375016440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126351375016440 is an abundant number, since it is smaller than the sum of its proper divisors (309969920407560).

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

126351375016440 is a wasteful number, since it uses less digits than its factorization.

126351375016440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082146229 (or 1082146225 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 126351375016440 in words is "one hundred twenty-six trillion, three hundred fifty-one billion, three hundred seventy-five million, sixteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 139 140 168 210 278 280 417 420 556 695 834 840 973 1112 1390 1668 1946 2085 2780 2919 3336 3892 4170 4865 5560 5838 7784 8340 9730 11676 14595 16680 19460 23352 29190 38920 58380 116760 1082146069 2164292138 3246438207 4328584276 5410730345 6492876414 7575022483 8657168552 10821460690 12985752828 15150044966 16232191035 21642921380 22725067449 25971505656 30300089932 32464382070 37875112415 43285842760 45450134898 60600179864 64928764140 75750224830 90900269796 113625337245 129857528280 150418303591 151500449660 181800539592 227250674490 300836607182 303000899320 451254910773 454501348980 601673214364 752091517955 902509821546 909002697960 1052928125137 1203346428728 1504183035910 1805019643092 2105856250274 2256274553865 3008366071820 3158784375411 3610039286184 4211712500548 4512549107730 5264640625685 6016732143640 6317568750822 8423425001096 9025098215460 10529281251370 12635137501644 15793921877055 18050196430920 21058562502740 25270275003288 31587843754110 42117125005480 63175687508220 126351375016440