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200414140212 = 22311131069109253
BaseRepresentation
bin1011101010100110011…
…1010001011100110100
3201011022012120012001210
42322221213101130310
511240422004441322
6232022522321420
720323310040606
oct2725147213464
9634265505053
10200414140212
1177aa4614940
1232a12359270
1315b8c071960
1499b30c7176
15532e9cc70c
hex2ea99d1734

200414140212 has 96 divisors (see below), whose sum is σ = 549905973120. Its totient is φ = 56006945280.

The previous prime is 200414140189. The next prime is 200414140219. The reversal of 200414140212 is 212041414002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200414140219) 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, 1779778 + ... + 1889030.

It is an arithmetic number, because the mean of its divisors is an integer number (5728187220).

Almost surely, 2200414140212 is an apocalyptic number.

200414140212 is a gapful number since it is divisible by the number (22) 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 200414140212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274952986560).

200414140212 is an abundant number, since it is smaller than the sum of its proper divisors (349491832908).

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

200414140212 is a wasteful number, since it uses less digits than its factorization.

200414140212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110353 (or 110351 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 200414140212 its reverse (212041414002), we get a palindrome (412455554214).

The spelling of 200414140212 in words is "two hundred billion, four hundred fourteen million, one hundred forty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1069 1716 2138 3207 4276 6414 11759 12828 13897 23518 27794 35277 41691 47036 55588 70554 83382 109253 141108 152867 166764 218506 305734 327759 437012 458601 611468 655518 917202 1201783 1311036 1420289 1834404 2403566 2840578 3605349 4260867 4807132 5681156 7210698 8521734 14421396 15623179 17043468 31246358 46869537 62492716 93739074 116791457 187478148 233582914 350374371 467165828 700748742 1284706027 1401497484 1518288941 2569412054 3036577882 3854118081 4554866823 5138824108 6073155764 7708236162 9109733646 15416472324 16701178351 18219467292 33402356702 50103535053 66804713404 100207070106 200414140212