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214319502112 = 25173710647829
BaseRepresentation
bin1100011110011001110…
…0000001001100100000
3202111012021221202120111
43013212130001030200
512002411243031422
6242242414421104
721325015465402
oct3074634011440
9674167852514
10214319502112
118298a854071
1235653201794
1317296b96751
14a531ba6b72
155895669a77
hex31e6701320

214319502112 has 48 divisors (see below), whose sum is σ = 458836290360. Its totient is φ = 98130382848.

The previous prime is 214319501881. The next prime is 214319502119. The reversal of 214319502112 is 211205913412.

It can be written as a sum of positive squares in 4 ways, for example, as 204264225936 + 10055276176 = 451956^2 + 100276^2 .

It is not an unprimeable number, because it can be changed into a prime (214319502119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5303787 + ... + 5344042.

Almost surely, 2214319502112 is an apocalyptic number.

It is an amenable number.

214319502112 is an abundant number, since it is smaller than the sum of its proper divisors (244516788248).

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

214319502112 is a wasteful number, since it uses less digits than its factorization.

214319502112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10647893 (or 10647885 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The spelling of 214319502112 in words is "two hundred fourteen billion, three hundred nineteen million, five hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 32 34 37 68 74 136 148 272 296 544 592 629 1184 1258 2516 5032 10064 20128 10647829 21295658 42591316 85182632 170365264 181013093 340730528 362026186 393969673 724052372 787939346 1448104744 1575878692 2896209488 3151757384 5792418976 6303514768 6697484441 12607029536 13394968882 26789937764 53579875528 107159751056 214319502112