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214012320144 = 24372953215693
BaseRepresentation
bin1100011101010000100…
…0001101100110010000
3202110101212221022010120
43013110020031212100
512001244123221034
6242152122430240
721314265464220
oct3072410154620
9673355838116
10214012320144
1182842414777
1235588362380
131724835297c
14a503084080
1558786dcc49
hex31d420d990

214012320144 has 80 divisors (see below), whose sum is σ = 632062795392. Its totient is φ = 61125387264.

The previous prime is 214012320127. The next prime is 214012320209. The reversal of 214012320144 is 441023210412.

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

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, 884362 + ... + 1100054.

Almost surely, 2214012320144 is an apocalyptic number.

214012320144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

214012320144 is an abundant number, since it is smaller than the sum of its proper divisors (418050475248).

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

214012320144 is a wasteful number, since it uses less digits than its factorization.

214012320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218664 (or 218658 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 214012320144 its reverse (441023210412), we get a palindrome (655035530556).

The spelling of 214012320144 in words is "two hundred fourteen billion, twelve million, three hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2953 5906 8859 11812 17718 20671 23624 35436 41342 47248 62013 70872 82684 124026 141744 165368 215693 248052 330736 431386 496104 647079 862772 992208 1294158 1509851 1725544 2588316 3019702 3451088 4529553 5176632 6039404 9059106 10353264 12078808 18118212 24157616 36236424 72472848 636941429 1273882858 1910824287 2547765716 3821648574 4458590003 5095531432 7643297148 8917180006 10191062864 13375770009 15286594296 17834360012 26751540018 30573188592 35668720024 53503080036 71337440048 107006160072 214012320144