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42032054214 = 232234118113681
BaseRepresentation
bin100111001001010011…
…100011111111000110
311000111021201120211200
4213021103203333012
51142040201213324
631150444443330
73015410365053
oct471123437706
9130437646750
1042032054214
1116909aa9497
128190549546
133c6b0708c7
14206a40c02a
1511600cbec9
hex9c94e3fc6

42032054214 has 96 divisors (see below), whose sum is σ = 97891754688. Its totient is φ = 13001472000.

The previous prime is 42032054213. The next prime is 42032054221. The reversal of 42032054214 is 41245023024.

42032054214 is a `hidden beast` number, since 420 + 3 + 20 + 5 + 4 + 214 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42032054213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3065454 + ... + 3079134.

It is an arithmetic number, because the mean of its divisors is an integer number (1019705778).

Almost surely, 242032054214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42032054214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48945877344).

42032054214 is an abundant number, since it is smaller than the sum of its proper divisors (55859700474).

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

42032054214 is a wasteful number, since it uses less digits than its factorization.

42032054214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13934 (or 13931 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 42032054214 its reverse (41245023024), we get a palindrome (83277077238).

The spelling of 42032054214 in words is "forty-two billion, thirty-two million, fifty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 18 23 41 46 69 82 123 138 181 207 246 362 369 414 543 738 943 1086 1629 1886 2829 3258 4163 5658 7421 8326 8487 12489 13681 14842 16974 22263 24978 27362 37467 41043 44526 66789 74934 82086 123129 133578 170683 246258 314663 341366 512049 560921 629326 943989 1024098 1121842 1536147 1682763 1887978 2476261 2831967 3072294 3365526 4952522 5048289 5663934 7428783 10096578 12901183 14857566 22286349 25802366 38703549 44572698 56954003 77407098 101526701 113908006 116110647 170862009 203053402 232221294 304580103 341724018 512586027 609160206 913740309 1025172054 1827480618 2335114123 4670228246 7005342369 14010684738 21016027107 42032054214