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315424294128 = 2434534592131
BaseRepresentation
bin1001001011100001100…
…00001100010011110000
31010011011110110100120000
410211300300030103300
520131442104403003
6400523125150000
731534336156026
oct4456060142360
91104143410500
10315424294128
11111852877819
125116ab5b300
132398a544078
14113a3852716
1583118851a3
hex4970c0c4f0

315424294128 has 100 divisors (see below), whose sum is σ = 930154705128. Its totient is φ = 103157608320.

The previous prime is 315424294121. The next prime is 315424294169. The reversal of 315424294128 is 821492424513.

315424294128 is a `hidden beast` number, since 3 + 1 + 542 + 4 + 2 + 94 + 12 + 8 = 666.

It is a super-2 number, since 2×3154242941282 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315424294121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2227378 + ... + 2364753.

Almost surely, 2315424294128 is an apocalyptic number.

It is an amenable number.

315424294128 is an abundant number, since it is smaller than the sum of its proper divisors (614730411000).

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

315424294128 is a wasteful number, since it uses less digits than its factorization.

315424294128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4592204 (or 4592189 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 315424294128 in words is "three hundred fifteen billion, four hundred twenty-four million, two hundred ninety-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 318 324 424 432 477 636 648 848 954 1272 1296 1431 1908 2544 2862 3816 4293 5724 7632 8586 11448 17172 22896 34344 68688 4592131 9184262 13776393 18368524 27552786 36737048 41329179 55105572 73474096 82658358 110211144 123987537 165316716 220422288 243382943 247975074 330633432 371962611 486765886 495950148 661266864 730148829 743925222 973531772 991900296 1460297658 1487850444 1947063544 1983800592 2190446487 2920595316 2975700888 3894127088 4380892974 5841190632 5951401776 6571339461 8761785948 11682381264 13142678922 17523571896 19714018383 26285357844 35047143792 39428036766 52570715688 78856073532 105141431376 157712147064 315424294128