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104222311440 = 24351333404587
BaseRepresentation
bin110000100010000100…
…0100100010000010000
3100222000102122222122220
41201010020210100100
53201421402431230
6115513513501040
710346504013252
oct1410410442020
9328012588586
10104222311440
1140222861195
1218247a11780
139a9c4ca990
145089b23cd2
152a9ec74d10
hex1844224410

104222311440 has 80 divisors (see below), whose sum is σ = 347942188608. Its totient is φ = 25654722048.

The previous prime is 104222311381. The next prime is 104222311639. The reversal of 104222311440 is 44113222401.

It is a tau number, because it is divible by the number of its divisors (80).

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 104222311440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16699174 + ... + 16705413.

Almost surely, 2104222311440 is an apocalyptic number.

104222311440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104222311440 is an abundant number, since it is smaller than the sum of its proper divisors (243719877168).

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

104222311440 is a wasteful number, since it uses less digits than its factorization.

104222311440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33404616 (or 33404610 counting only the distinct ones).

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

Adding to 104222311440 its reverse (44113222401), we get a palindrome (148335533841).

The spelling of 104222311440 in words is "one hundred four billion, two hundred twenty-two million, three hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 33404587 66809174 100213761 133618348 167022935 200427522 267236696 334045870 400855044 434259631 501068805 534473392 668091740 801710088 868519262 1002137610 1302778893 1336183480 1603420176 1737038524 2004275220 2171298155 2605557786 2672366960 3474077048 4008550440 4342596310 5211115572 6513894465 6948154096 8017100880 8685192620 10422231144 13027788930 17370385240 20844462288 26055577860 34740770480 52111155720 104222311440