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414140200140 = 223547146858227
BaseRepresentation
bin1100000011011001010…
…11011111010011001100
31110120222010211222000010
412001230223133103030
523241124342401030
6514130421433220
741630531422212
oct6015453372314
91416863758003
10414140200140
1114a6aa38a017
126831a86b810
133008ccc7684
141608a132cb2
15ab8cec26b0
hex606cadf4cc

414140200140 has 48 divisors (see below), whose sum is σ = 1184264750592. Its totient is φ = 108087654336.

The previous prime is 414140200129. The next prime is 414140200151. The reversal of 414140200140 is 41002041414.

It is an interprime number because it is at equal distance from previous prime (414140200129) and next prime (414140200151).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73426294 + ... + 73431933.

It is an arithmetic number, because the mean of its divisors is an integer number (24672182304).

Almost surely, 2414140200140 is an apocalyptic number.

It is an amenable number.

414140200140 is an abundant number, since it is smaller than the sum of its proper divisors (770124550452).

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

414140200140 is a wasteful number, since it uses less digits than its factorization.

414140200140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146858286 (or 146858284 counting only the distinct ones).

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

Adding to 414140200140 its reverse (41002041414), we get a palindrome (455142241554).

The spelling of 414140200140 in words is "four hundred fourteen billion, one hundred forty million, two hundred thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2820 146858227 293716454 440574681 587432908 734291135 881149362 1468582270 1762298724 2202873405 2937164540 4405746810 6902336669 8811493620 13804673338 20707010007 27609346676 34511683345 41414020014 69023366690 82828040028 103535050035 138046733380 207070100070 414140200140