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302041141440 = 26351657189877
BaseRepresentation
bin1000110010100110000…
…11100001000011000000
31001212121202200202102020
410121103003201003000
514422040013011230
6350431125521440
730551601225123
oct4312303410300
91055552622366
10302041141440
11107105394055
124a654b73280
132263697c1cc
141089426a3ba
157ccb99b810
hex46530e10c0

302041141440 has 112 divisors (see below), whose sum is σ = 959564422752. Its totient is φ = 80495271936.

The previous prime is 302041141427. The next prime is 302041141463. The reversal of 302041141440 is 44141140203.

It is a super-2 number, since 2×3020411414402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 302041141440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1495782 + ... + 1685658.

Almost surely, 2302041141440 is an apocalyptic number.

302041141440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 302041141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479782211376).

302041141440 is an abundant number, since it is smaller than the sum of its proper divisors (657523281312).

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

302041141440 is a wasteful number, since it uses less digits than its factorization.

302041141440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191554 (or 191544 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 302041141440 its reverse (44141140203), we get a palindrome (346182281643).

The spelling of 302041141440 in words is "three hundred two billion, forty-one million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 1657 3314 4971 6628 8285 9942 13256 16570 19884 24855 26512 33140 39768 49710 53024 66280 79536 99420 106048 132560 159072 189877 198840 265120 318144 379754 397680 530240 569631 759508 795360 949385 1139262 1519016 1590720 1898770 2278524 2848155 3038032 3797540 4557048 5696310 6076064 7595080 9114096 11392620 12152128 15190160 18228192 22785240 30380320 36456384 45570480 60760640 91140960 182281920 314626189 629252378 943878567 1258504756 1573130945 1887757134 2517009512 3146261890 3775514268 4719392835 5034019024 6292523780 7551028536 9438785670 10068038048 12585047560 15102057072 18877571340 20136076096 25170095120 30204114144 37755142680 50340190240 60408228288 75510285360 100680380480 151020570720 302041141440