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42021021312 = 2732238315307
BaseRepresentation
bin100111001000101001…
…011110011010000000
311000110111222001112200
4213020221132122000
51142024340140222
631145412153200
73015214534134
oct471051363200
9130414861480
1042021021312
1116903853296
128188908800
133c689a9b6a
142068b793c4
15115e14ceac
hex9c8a5e680

42021021312 has 96 divisors (see below), whose sum is σ = 120978511680. Its totient is φ = 14000214528.

The previous prime is 42021021293. The next prime is 42021021349. The reversal of 42021021312 is 21312012024.

It is a happy number.

42021021312 is a `hidden beast` number, since 420 + 21 + 0 + 213 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2737563 + ... + 2752869.

It is an arithmetic number, because the mean of its divisors is an integer number (1260192830).

Almost surely, 242021021312 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 42021021312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60489255840).

42021021312 is an abundant number, since it is smaller than the sum of its proper divisors (78957490368).

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

42021021312 is a wasteful number, since it uses less digits than its factorization.

42021021312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17710 (or 17695 counting only the distinct ones).

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

Adding to 42021021312 its reverse (21312012024), we get a palindrome (63333033336).

The spelling of 42021021312 in words is "forty-two billion, twenty-one million, twenty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2383 4766 7149 9532 14298 15307 19064 21447 28596 30614 38128 42894 45921 57192 61228 76256 85788 91842 114384 122456 137763 152512 171576 183684 228768 244912 275526 305024 343152 367368 457536 489824 551052 686304 734736 915072 979648 1102104 1372608 1469472 1959296 2204208 2745216 2938944 4408416 5877888 8816832 17633664 36476581 72953162 109429743 145906324 218859486 291812648 328289229 437718972 583625296 656578458 875437944 1167250592 1313156916 1750875888 2334501184 2626313832 3501751776 4669002368 5252627664 7003503552 10505255328 14007007104 21010510656 42021021312