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3424362665100 = 22352133723730857
BaseRepresentation
bin110001110101001011111…
…010111001010010001100
3110010100212201111021010120
4301311023322321102030
5422101043320240400
611141044104104540
7502254620252166
oct61651372712214
913110781437116
103424362665100
11110029a4a6a43
124737b8165150
131babba6363c0
14bba5093b936
155e11edb9ca0
hex31d4beb948c

3424362665100 has 144 divisors (see below), whose sum is σ = 10958340683808. Its totient is φ = 820138383360.

The previous prime is 3424362665057. The next prime is 3424362665111. The reversal of 3424362665100 is 15662634243.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11721129 + ... + 12009728.

It is an arithmetic number, because the mean of its divisors is an integer number (76099588082).

Almost surely, 23424362665100 is an apocalyptic number.

3424362665100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3424362665100 is an abundant number, since it is smaller than the sum of its proper divisors (7533978018708).

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

3424362665100 is a wasteful number, since it uses less digits than its factorization.

3424362665100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23730924 (or 23730917 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 3424362665100 in words is "three trillion, four hundred twenty-four billion, three hundred sixty-two million, six hundred sixty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 37 39 50 52 60 65 74 75 78 100 111 130 148 150 156 185 195 222 260 300 325 370 390 444 481 555 650 740 780 925 962 975 1110 1300 1443 1850 1924 1950 2220 2405 2775 2886 3700 3900 4810 5550 5772 7215 9620 11100 12025 14430 24050 28860 36075 48100 72150 144300 23730857 47461714 71192571 94923428 118654285 142385142 237308570 284770284 308501141 355962855 474617140 593271425 617002282 711925710 878041709 925503423 1186542850 1234004564 1423851420 1542505705 1756083418 1779814275 1851006846 2373085700 2634125127 3085011410 3512166836 3559628550 3702013692 4390208545 4627517115 5268250254 6170022820 7119257100 7712528525 8780417090 9255034230 10536500508 11414542217 13170625635 15425057050 17560834180 18510068460 21951042725 22829084434 23137585575 26341251270 30850114100 34243626651 43902085450 45658168868 46275171150 52682502540 57072711085 65853128175 68487253302 87804170900 92550342300 114145422170 131706256350 136974506604 171218133255 228290844340 263412512700 285363555425 342436266510 570727110850 684872533020 856090666275 1141454221700 1712181332550 3424362665100