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42001252049988 = 223271137409512617
BaseRepresentation
bin10011000110011001011011…
…01101010110010001000100
312111201021120110201120222100
421203030231231112101010
521001122031011044423
6225155035301032100
711563330115563230
oct1143145555262104
9174637513646870
1042001252049988
11124236a38a2610
12486415a3b5630
131a589163487ca
14a52c2b3675c0
154cc837ab7343
hex26332db56444

42001252049988 has 144 divisors (see below), whose sum is σ = 135945084772224. Its totient is φ = 10614567006720.

The previous prime is 42001252049957. The next prime is 42001252050041. The reversal of 42001252049988 is 88994025210024.

42001252049988 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 125 + 20 + 499 + 8 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204653745 + ... + 204858872.

It is an arithmetic number, because the mean of its divisors is an integer number (944063088696).

Almost surely, 242001252049988 is an apocalyptic number.

It is an amenable number.

42001252049988 is an abundant number, since it is smaller than the sum of its proper divisors (93943832722236).

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

42001252049988 is a wasteful number, since it uses less digits than its factorization.

42001252049988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409512682 (or 409512677 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 42001252049988 in words is "forty-two trillion, one billion, two hundred fifty-two million, forty-nine thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 37 42 44 63 66 74 77 84 99 111 126 132 148 154 198 222 231 252 259 308 333 396 407 444 462 518 666 693 777 814 924 1036 1221 1332 1386 1554 1628 2331 2442 2772 2849 3108 3663 4662 4884 5698 7326 8547 9324 11396 14652 17094 25641 34188 51282 102564 409512617 819025234 1228537851 1638050468 2457075702 2866588319 3685613553 4504638787 4914151404 5733176638 7371227106 8599764957 9009277574 11466353276 13513916361 14742454212 15151966829 17199529914 18018555148 25799294871 27027832722 30303933658 31532471509 34399059828 40541749083 45455900487 51598589742 54055665444 60607867316 63064943018 81083498166 90911800974 94597414527 103197179484 106063767803 126129886036 136367701461 162166996332 166671635119 181823601948 189194829054 212127535606 272735402922 283792243581 318191303409 333343270238 378389658108 424255071212 500014905357 545470805844 567584487162 636382606818 666686540476 954573910227 1000029810714 1135168974324 1166701445833 1272765213636 1500044716071 1909147820454 2000059621428 2333402891666 3000089432142 3500104337499 3818295640908 4666805783332 6000178864284 7000208674998 10500313012497 14000417349996 21000626024994 42001252049988