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104222501440 = 2652911230873
BaseRepresentation
bin110000100010000100…
…1010010101001000000
3100222000110000122021221
41201010021102221000
53201421430021230
6115513521524424
710346505434221
oct1410411225100
9328013018257
10104222501440
1140222980a12
1218247aa3714
139a9c5662c5
145089b73248
152a9ecb127a
hex1844252a40

104222501440 has 56 divisors (see below), whose sum is σ = 256737779640. Its totient is φ = 40251445248.

The previous prime is 104222501407. The next prime is 104222501483. The reversal of 104222501440 is 44105222401.

It can be written as a sum of positive squares in 4 ways, for example, as 15389891136 + 88832610304 = 124056^2 + 298048^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5606157 + ... + 5624716.

Almost surely, 2104222501440 is an apocalyptic number.

104222501440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104222501440 is an abundant number, since it is smaller than the sum of its proper divisors (152515278200).

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

104222501440 is a wasteful number, since it uses less digits than its factorization.

104222501440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11230919 (or 11230909 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 104222501440 its reverse (44105222401), we get a palindrome (148327723841).

The spelling of 104222501440 in words is "one hundred four billion, two hundred twenty-two million, five hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 9280 11230873 22461746 44923492 56154365 89846984 112308730 179693968 224617460 325695317 359387936 449234920 651390634 718775872 898469840 1302781268 1628476585 1796939680 2605562536 3256953170 3593879360 5211125072 6513906340 10422250144 13027812680 20844500288 26055625360 52111250720 104222501440