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981425214 = 23373114817
BaseRepresentation
bin111010011111110…
…101110000111110
32112101201120022000
4322133311300332
54002221101324
6241215203130
733214656000
oct7237656076
92471646260
10981425214
11463a97320
122348164a6
131284356a3
14944b4370
155b2629c9
hex3a7f5c3e

981425214 has 128 divisors (see below), whose sum is σ = 2775168000. Its totient is φ = 254862720.

The previous prime is 981425191. The next prime is 981425233. The reversal of 981425214 is 412524189.

981425214 is a `hidden beast` number, since 98 + 1 + 42 + 521 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201334 + ... + 206150.

It is an arithmetic number, because the mean of its divisors is an integer number (21681000).

Almost surely, 2981425214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981425214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1387584000).

981425214 is an abundant number, since it is smaller than the sum of its proper divisors (1793742786).

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

981425214 is a wasteful number, since it uses less digits than its factorization.

981425214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4860 (or 4840 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 981425214 is about 31327.7068104258. The cubic root of 981425214 is about 993.7696682472.

The spelling of 981425214 in words is "nine hundred eighty-one million, four hundred twenty-five thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 98 99 126 147 154 189 198 231 294 297 343 378 441 462 539 594 686 693 882 1029 1078 1323 1386 1617 2058 2079 2646 3087 3234 3773 4158 4817 4851 6174 7546 9261 9634 9702 11319 14451 14553 18522 22638 28902 29106 33719 33957 43353 52987 67438 67914 86706 101157 101871 105974 130059 158961 202314 203742 236033 260118 303471 317922 370909 472066 476883 606942 708099 741818 910413 953766 1112727 1416198 1430649 1652231 1820826 2124297 2225454 2596363 2861298 3304462 3338181 4248594 4956693 5192726 6372891 6676362 7789089 9913386 10014543 12745782 14870079 15578178 18174541 20029086 23367267 29740158 36349082 44610237 46734534 54523623 70101801 89220474 109047246 140203602 163570869 327141738 490712607 981425214