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149857217304 = 233314710939317
BaseRepresentation
bin1000101110010000101…
…1111010101100011000
3112022210210210101211120
42023210023322230120
54423401421423204
6152502104125240
713553413221114
oct2134413725430
9468723711746
10149857217304
1158610546423
1225062a66820
1311192b09662
147378824744
153d712c86d9
hex22e42fab18

149857217304 has 128 divisors (see below), whose sum is σ = 398590156800. Its totient is φ = 46877253120.

The previous prime is 149857217299. The next prime is 149857217317. The reversal of 149857217304 is 403712758941.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3791854 + ... + 3831170.

It is an arithmetic number, because the mean of its divisors is an integer number (3113985600).

Almost surely, 2149857217304 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 149857217304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199295078400).

149857217304 is an abundant number, since it is smaller than the sum of its proper divisors (248732939496).

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

149857217304 is a wasteful number, since it uses less digits than its factorization.

149857217304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39513 (or 39509 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 149857217304 in words is "one hundred forty-nine billion, eight hundred fifty-seven million, two hundred seventeen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 24 31 47 62 93 94 109 124 141 186 188 218 248 282 327 372 376 436 564 654 744 872 1128 1308 1457 2616 2914 3379 4371 5123 5828 6758 8742 10137 10246 11656 13516 15369 17484 20274 20492 27032 30738 34968 39317 40548 40984 61476 78634 81096 117951 122952 157268 158813 235902 314536 317626 471804 476439 635252 943608 952878 1218827 1270504 1847899 1905756 2437654 3656481 3695798 3811512 4285553 4875308 5543697 7312962 7391596 8571106 9750616 11087394 12856659 14625924 14783192 17142212 22174788 25713318 29251848 34284424 44349576 51426636 57284869 102853272 114569738 132852143 171854607 201420991 229139476 265704286 343709214 398556429 402841982 458278952 531408572 604262973 687418428 797112858 805683964 1062817144 1208525946 1374836856 1594225716 1611367928 2417051892 3188451432 4834103784 6244050721 12488101442 18732152163 24976202884 37464304326 49952405768 74928608652 149857217304