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42254351244 = 22337178731277
BaseRepresentation
bin100111010110100011…
…100011101110001100
311001001210000110001000
4213112203203232030
51143014103214434
631224505220300
73024050026260
oct472643435614
9131053013030
1042254351244
1116a13530546
128232a91690
133ca5133a01
14208bb560a0
15117488cb99
hex9d68e3b8c

42254351244 has 96 divisors (see below), whose sum is σ = 125272143360. Its totient is φ = 12065530176.

The previous prime is 42254351231. The next prime is 42254351257. The reversal of 42254351244 is 44215345224.

42254351244 is a `hidden beast` number, since 4 + 22 + 543 + 51 + 2 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (42254351231) and next prime (42254351257).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42254351199 and 42254351208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1335334 + ... + 1366610.

It is an arithmetic number, because the mean of its divisors is an integer number (1304918160).

Almost surely, 242254351244 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 42254351244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62636071680).

42254351244 is an abundant number, since it is smaller than the sum of its proper divisors (83017792116).

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

42254351244 is a wasteful number, since it uses less digits than its factorization.

42254351244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33084 (or 33076 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

Adding to 42254351244 its reverse (44215345224), we get a palindrome (86469696468).

The spelling of 42254351244 in words is "forty-two billion, two hundred fifty-four million, three hundred fifty-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1787 3574 5361 7148 10722 12509 16083 21444 25018 31277 32166 37527 48249 50036 62554 64332 75054 93831 96498 112581 125108 150108 187662 192996 218939 225162 281493 337743 375324 437878 450324 562986 656817 675486 844479 875756 1125972 1313634 1350972 1688958 1970451 2627268 3377916 3940902 5911353 7881804 11822706 23645412 55891999 111783998 167675997 223567996 335351994 391243993 503027991 670703988 782487986 1006055982 1173731979 1509083973 1564975972 2012111964 2347463958 3018167946 3521195937 4694927916 6036335892 7042391874 10563587811 14084783748 21127175622 42254351244