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314021073492 = 223274745615813
BaseRepresentation
bin1001001000111010001…
…11010101001001010100
31010000112200001100201100
410210131013111021110
520121103343322432
6400132001230100
731454510040540
oct4443507251124
91100480040640
10314021073492
111111a2789345
1250a39032330
13237c59086b9
14112ad342a20
15827d5a607c
hex491d1d5254

314021073492 has 144 divisors (see below), whose sum is σ = 926836065792. Its totient is φ = 87777008640.

The previous prime is 314021073469. The next prime is 314021073497. The reversal of 314021073492 is 294370120413.

It is a happy number.

314021073492 is a `hidden beast` number, since 3 + 140 + 21 + 0 + 7 + 3 + 492 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314021073497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54017578 + ... + 54023390.

It is an arithmetic number, because the mean of its divisors is an integer number (6436361568).

Almost surely, 2314021073492 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314021073492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463418032896).

314021073492 is an abundant number, since it is smaller than the sum of its proper divisors (612814992300).

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

314021073492 is a wasteful number, since it uses less digits than its factorization.

314021073492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10438 (or 10433 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 314021073492 in words is "three hundred fourteen billion, twenty-one million, seventy-three thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 63 84 94 126 141 188 252 282 329 423 564 658 846 987 1316 1692 1974 2961 3948 4561 5813 5922 9122 11626 11844 13683 17439 18244 23252 27366 31927 34878 40691 41049 52317 54732 63854 69756 81382 82098 95781 104634 122073 127708 162764 164196 191562 209268 214367 244146 273211 287343 366219 383124 428734 488292 546422 574686 643101 732438 819633 857468 1092844 1149372 1286202 1464876 1500569 1639266 1912477 1929303 2458899 2572404 3001138 3278532 3824954 3858606 4501707 4917798 5737431 6002276 7649908 7717212 9003414 9835596 11474862 13505121 17212293 18006828 22949724 26513093 27010242 34424586 53026186 54020484 68849172 79539279 106052372 159078558 185591651 238617837 318157116 371183302 477235674 556774953 742366604 954471348 1113549906 1246115371 1670324859 2227099812 2492230742 3340649718 3738346113 4984461484 6681299436 7476692226 8722807597 11215038339 14953384452 17445615194 22430076678 26168422791 34891230388 44860153356 52336845582 78505268373 104673691164 157010536746 314021073492