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214002304140 = 223520231176299
BaseRepresentation
bin1100011101001110001…
…0000000010010001100
3202110101012002102202110
43013103202000102030
512001234042213030
6242151124024020
721314114400102
oct3072342002214
9673335072673
10214002304140
11828377a3589
1235584b32010
1317246256a41
14a5019d7c72
1558778b01b0
hex31d388048c

214002304140 has 48 divisors (see below), whose sum is σ = 599239468800. Its totient is φ = 57064136640.

The previous prime is 214002304099. The next prime is 214002304169. The reversal of 214002304140 is 41403200412.

It is a super-3 number, since 3×2140023041403 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 1125711 + ... + 1302009.

It is an arithmetic number, because the mean of its divisors is an integer number (12484155600).

Almost surely, 2214002304140 is an apocalyptic number.

214002304140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214002304140 is an abundant number, since it is smaller than the sum of its proper divisors (385237164660).

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

214002304140 is a wasteful number, since it uses less digits than its factorization.

214002304140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196542 (or 196540 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 214002304140 its reverse (41403200412), we get a palindrome (255405504552).

The spelling of 214002304140 in words is "two hundred fourteen billion, two million, three hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 20231 40462 60693 80924 101155 121386 176299 202310 242772 303465 352598 404620 528897 606930 705196 881495 1057794 1213860 1762990 2115588 2644485 3525980 5288970 10577940 3566705069 7133410138 10700115207 14266820276 17833525345 21400230414 35667050690 42800460828 53500576035 71334101380 107001152070 214002304140