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20345203300140 = 22325532740777813
BaseRepresentation
bin1001010000000111111001…
…00111011001011100101100
32200000222112012101002211100
410220003330213121130230
510131313434021101030
6111134242442523100
74166615050453305
oct450037447313454
980028465332740
1020345203300140
116534396956824
122347053506490
13b47710194c04
145049daa2d7ac
1525435ac40360
hex1280fc9d972c

20345203300140 has 144 divisors (see below), whose sum is σ = 62881296686208. Its totient is φ = 5322759117312.

The previous prime is 20345203300127. The next prime is 20345203300153. The reversal of 20345203300140 is 4100330254302.

20345203300140 is a `hidden beast` number, since 2 + 0 + 345 + 2 + 0 + 3 + 300 + 14 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20345203300127) and next prime (20345203300153).

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, 261423874 + ... + 261501686.

It is an arithmetic number, because the mean of its divisors is an integer number (436675671432).

Almost surely, 220345203300140 is an apocalyptic number.

20345203300140 is a gapful number since it is divisible by the number (20) 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 20345203300140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31440648343104).

20345203300140 is an abundant number, since it is smaller than the sum of its proper divisors (42536093386068).

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

20345203300140 is a wasteful number, since it uses less digits than its factorization.

20345203300140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105288 (or 105283 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 20345203300140 its reverse (4100330254302), we get a palindrome (24445533554442).

The spelling of 20345203300140 in words is "twenty trillion, three hundred forty-five billion, two hundred three million, three hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 27407 54814 77813 82221 109628 137035 155626 164442 233439 246663 274070 311252 328884 389065 411105 466878 493326 548140 700317 778130 822210 933756 986652 1167195 1233315 1400634 1452571 1556260 1644420 2334390 2466630 2801268 2905142 3501585 4124089 4357713 4668780 4933260 5810284 7003170 7262855 8248178 8715426 12372267 13073139 14006340 14525710 16496356 17430852 20620445 21788565 24744534 26146278 29051420 37116801 41240890 43577130 49489068 52292556 61861335 65365695 74233602 82481780 87154260 123722670 130731390 148467204 185584005 247445340 261462780 371168010 742336020 2132620891 4265241782 6397862673 8530483564 10663104455 12795725346 19193588019 21326208910 25591450692 31989313365 38387176038 42652417820 63978626730 76774352076 95967940095 113028907223 127957253460 191935880190 226057814446 339086721669 383871760380 452115628892 565144536115 678173443338 1017260165007 1130289072230 1356346886676 1695433608345 2034520330014 2260578144460 3390867216690 4069040660028 5086300825035 6781734433380 10172601650070 20345203300140