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214144634944 = 2617211577889
BaseRepresentation
bin1100011101110000000…
…0111101000001000000
3202110202002220120220201
43013130000331001000
512002032011304234
6242213210414544
721320463235522
oct3073400750100
9673662816821
10214144634944
1182900077849
1235604731454
131726989bc56
14a516887a12
155885127314
hex31dc03d040

214144634944 has 42 divisors (see below), whose sum is σ = 451410353210. Its totient is φ = 100773937152.

The previous prime is 214144634939. The next prime is 214144635017. The reversal of 214144634944 is 449436441412.

It can be written as a sum of positive squares in 3 ways, for example, as 80837862400 + 133306772544 = 284320^2 + 365112^2 .

It is a junction number, because it is equal to n+sod(n) for n = 214144634894 and 214144634903.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5770449 + ... + 5807440.

Almost surely, 2214144634944 is an apocalyptic number.

It is an amenable number.

214144634944 is an abundant number, since it is smaller than the sum of its proper divisors (237265718266).

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

214144634944 is a wasteful number, since it uses less digits than its factorization.

214144634944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11577935 (or 11577908 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 46.

The spelling of 214144634944 in words is "two hundred fourteen billion, one hundred forty-four million, six hundred thirty-four thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 289 544 578 1088 1156 2312 4624 9248 18496 11577889 23155778 46311556 92623112 185246224 196824113 370492448 393648226 740984896 787296452 1574592904 3149185808 3346009921 6298371616 6692019842 12596743232 13384039684 26768079368 53536158736 107072317472 214144634944