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201214223302440 = 23354139405118433
BaseRepresentation
bin101101110000000011010110…
…010011011011111100101000
3222101102220002011222210111010
4231300003112103123330220
5202333143212131134230
61551540312120503520
760245151013145565
oct5560032623337450
9871386064883433
10201214223302440
1159127522457047
121a6987b831aba0
13883755c50b37a
143798b6b15186c
15183e09c7bb9b0
hexb700d64dbf28

201214223302440 has 64 divisors (see below), whose sum is σ = 603788514033600. Its totient is φ = 53644162291712.

The previous prime is 201214223302427. The next prime is 201214223302447. The reversal of 201214223302440 is 44203322412102.

201214223302440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 201214223302398 and 201214223302407.

It is not an unprimeable number, because it can be changed into a prime (201214223302447) 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, 202062537 + ... + 203055896.

It is an arithmetic number, because the mean of its divisors is an integer number (9434195531775).

Almost surely, 2201214223302440 is an apocalyptic number.

201214223302440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201214223302440 is an abundant number, since it is smaller than the sum of its proper divisors (402574290731160).

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

201214223302440 is a wasteful number, since it uses less digits than its factorization.

201214223302440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405122586 (or 405122582 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 201214223302440 its reverse (44203322412102), we get a palindrome (245417545714542).

The spelling of 201214223302440 in words is "two hundred one trillion, two hundred fourteen billion, two hundred twenty-three million, three hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4139 8278 12417 16556 20695 24834 33112 41390 49668 62085 82780 99336 124170 165560 248340 496680 405118433 810236866 1215355299 1620473732 2025592165 2430710598 3240947464 4051184330 4861421196 6076776495 8102368660 9722842392 12153552990 16204737320 24307105980 48614211960 1676785194187 3353570388374 5030355582561 6707140776748 8383925970935 10060711165122 13414281553496 16767851941870 20121422330244 25151777912805 33535703883740 40242844660488 50303555825610 67071407767480 100607111651220 201214223302440