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104220433344 = 26343100912511
BaseRepresentation
bin110000100010000000…
…1011001101111000000
3100222000022010120101210
41201010001121233000
53201420412331334
6115513405330120
710346452031616
oct1410401315700
9328008116353
10104220433344
1140221799145
1218247266940
139a9bcc0b91
1450897956b6
152a9ea035e9
hex1844059bc0

104220433344 has 112 divisors (see below), whose sum is σ = 282464906240. Its totient is φ = 33895895040.

The previous prime is 104220433313. The next prime is 104220433367. The reversal of 104220433344 is 443334022401.

It is a happy number.

It is a super-2 number, since 2×1042204333442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 8324049 + ... + 8336559.

Almost surely, 2104220433344 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 104220433344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141232453120).

104220433344 is an abundant number, since it is smaller than the sum of its proper divisors (178244472896).

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

104220433344 is a wasteful number, since it uses less digits than its factorization.

104220433344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13578 (or 13568 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 104220433344 its reverse (443334022401), we get a palindrome (547554455745).

The spelling of 104220433344 in words is "one hundred four billion, two hundred twenty million, four hundred thirty-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 172 192 258 344 516 688 1009 1032 1376 2018 2064 2752 3027 4036 4128 6054 8072 8256 12108 12511 16144 24216 25022 32288 37533 43387 48432 50044 64576 75066 86774 96864 100088 130161 150132 173548 193728 200176 260322 300264 347096 400352 520644 537973 600528 694192 800704 1041288 1075946 1201056 1388384 1613919 2082576 2151892 2402112 2776768 3227838 4165152 4303784 6455676 8330304 8607568 12623599 12911352 17215136 25247198 25822704 34430272 37870797 50494396 51645408 75741594 100988792 103290816 151483188 201977584 302966376 403955168 542814757 605932752 807910336 1085629514 1211865504 1628444271 2171259028 2423731008 3256888542 4342518056 6513777084 8685036112 13027554168 17370072224 26055108336 34740144448 52110216672 104220433344