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1406316032514 = 233791017614289
BaseRepresentation
bin10100011101101110111…
…101111011001000000010
311222102221120201111021000
4110131232331323020002
5141020113401020024
62554015213112430
7203413552021011
oct24355675731002
94872846644230
101406316032514
114a2462812a78
121a8678488716
13a27cc2c5013
144c0cd3a2a78
15268ac8c1cc9
hex1476ef7b202

1406316032514 has 128 divisors (see below), whose sum is σ = 3200985216000. Its totient is φ = 457546752000.

The previous prime is 1406316032509. The next prime is 1406316032543. The reversal of 1406316032514 is 4152306136041.

1406316032514 is a `hidden beast` number, since 1 + 4 + 0 + 6 + 31 + 603 + 2 + 5 + 14 = 666.

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, 327886882 + ... + 327891170.

It is an arithmetic number, because the mean of its divisors is an integer number (25007697000).

Almost surely, 21406316032514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1406316032514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600492608000).

1406316032514 is an abundant number, since it is smaller than the sum of its proper divisors (1794669183486).

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

1406316032514 is a wasteful number, since it uses less digits than its factorization.

1406316032514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5241 (or 5235 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1406316032514 in words is "one trillion, four hundred six billion, three hundred sixteen million, thirty-two thousand, five hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 79 101 158 202 237 303 474 606 711 761 909 1422 1522 1818 2133 2283 2727 4266 4289 4566 5454 6849 7979 8578 12867 13698 15958 20547 23937 25734 38601 41094 47874 60119 71811 76861 77202 115803 120238 143622 153722 180357 215433 230583 231606 338831 360714 430866 433189 461166 541071 677662 691749 866378 1016493 1082142 1299567 1383498 1623213 2032986 2075247 2599134 3049479 3246426 3263929 3898701 4150494 6072019 6098958 6527858 7797402 9148437 9791787 11696103 12144038 18216057 18296874 19583574 23392206 29375361 34221931 36432114 54648171 58750722 68443862 88126083 102665793 109296342 163944513 176252166 205331586 257850391 307997379 327889026 329656829 515700782 615994758 659313658 773551173 923992137 988970487 1547102346 1847984274 1977940974 2320653519 2966911461 4641307038 5933822922 6961960557 8900734383 13923921114 17801468766 26042889491 52085778982 78128668473 156257336946 234386005419 468772010838 703158016257 1406316032514