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42000000401016 = 23337173160565191
BaseRepresentation
bin10011000110010111000110…
…00110101011111001111000
312111201011100020112020101000
421203023203012223321320
521001112000100313031
6225154311145525000
711563254110001660
oct1143134306537170
9174634306466330
1042000000401016
111242311131a179
124863a6b1a3760
131a58776c3c508
14a52b4d0311a0
154cc7b2c783e6
hex2632e31abe78

42000000401016 has 128 divisors (see below), whose sum is σ = 134104048358400. Its totient is φ = 11930635877760.

The previous prime is 42000000400949. The next prime is 42000000401017. The reversal of 42000000401016 is 61010400000024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 42000000401016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42000000401017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80021020 + ... + 80544171.

It is an arithmetic number, because the mean of its divisors is an integer number (1047687877800).

Almost surely, 242000000401016 is an apocalyptic number.

It is an amenable number.

42000000401016 is an abundant number, since it is smaller than the sum of its proper divisors (92104047957384).

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

42000000401016 is a wasteful number, since it uses less digits than its factorization.

42000000401016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160565386 (or 160565376 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The spelling of 42000000401016 in words is "forty-two trillion, four hundred one thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 173 189 216 252 346 378 504 519 692 756 1038 1211 1384 1512 1557 2076 2422 3114 3633 4152 4671 4844 6228 7266 9342 9688 10899 12456 14532 18684 21798 29064 32697 37368 43596 65394 87192 130788 261576 160565191 321130382 481695573 642260764 963391146 1123956337 1284521528 1445086719 1926782292 2247912674 2890173438 3371869011 3853564584 4335260157 4495825348 5780346876 6743738022 8670520314 8991650696 10115607033 11560693752 13487476044 17341040628 20231214066 26974952088 27777778043 30346821099 34682081256 40462428132 55555556086 60693642198 80924856264 83333334129 111111112172 121387284396 166666668258 194444446301 222222224344 242774568792 250000002387 333333336516 388888892602 500000004774 583333338903 666666673032 750000007161 777777785204 1000000009548 1166666677806 1500000014322 1555555570408 1750000016709 2000000019096 2333333355612 3000000028644 3500000033418 4666666711224 5250000050127 6000000057288 7000000066836 10500000100254 14000000133672 21000000200508 42000000401016