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214040212440 = 233517609101293
BaseRepresentation
bin1100011101010111001…
…0100111001111011000
3202110110211102101011120
43013111302213033120
512001323243244230
6242155000325240
721315054533655
oct3072562471730
9673424371146
10214040212440
118285713565a
1235595773820
131725106a4a2
14a506a64c2c
15587ad9c310
hex31d5ca73d8

214040212440 has 64 divisors (see below), whose sum is σ = 642163442400. Its totient is φ = 57073585152.

The previous prime is 214040212433. The next prime is 214040212447. The reversal of 214040212440 is 44212040412.

It is an interprime number because it is at equal distance from previous prime (214040212433) and next prime (214040212447).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 214040212440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214040212447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2062434 + ... + 2163726.

Almost surely, 2214040212440 is an apocalyptic number.

214040212440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214040212440 is an abundant number, since it is smaller than the sum of its proper divisors (428123229960).

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

214040212440 is a wasteful number, since it uses less digits than its factorization.

214040212440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118916 (or 118912 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 214040212440 its reverse (44212040412), we get a palindrome (258252252852).

The spelling of 214040212440 in words is "two hundred fourteen billion, forty million, two hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 17609 35218 52827 70436 88045 101293 105654 140872 176090 202586 211308 264135 303879 352180 405172 422616 506465 528270 607758 704360 810344 1012930 1056540 1215516 1519395 2025860 2113080 2431032 3038790 4051720 6077580 12155160 1783668437 3567336874 5351005311 7134673748 8918342185 10702010622 14269347496 17836684370 21404021244 26755026555 35673368740 42808042488 53510053110 71346737480 107020106220 214040212440