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104201226240 = 211353391967
BaseRepresentation
bin110000100001011100…
…0001000100000000000
3100221221221222202012120
41201002320020200000
53201401003214430
6115511441524240
710346126544336
oct1410270104000
9327857882176
10104201226240
114021196a601
1218240943680
139a98027627
145086dd5b56
152a9ceac610
hex1842e08800

104201226240 has 96 divisors (see below), whose sum is σ = 333362615040. Its totient is φ = 27786985472.

The previous prime is 104201226223. The next prime is 104201226247. The reversal of 104201226240 is 42622102401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 104201226240.

It is not an unprimeable number, because it can be changed into a prime (104201226247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1665264 + ... + 1726703.

It is an arithmetic number, because the mean of its divisors is an integer number (3472527240).

Almost surely, 2104201226240 is an apocalyptic number.

104201226240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104201226240 is an abundant number, since it is smaller than the sum of its proper divisors (229161388800).

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

104201226240 is an equidigital number, since it uses as much as digits as its factorization.

104201226240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3391997 (or 3391977 counting only the distinct ones).

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

Adding to 104201226240 its reverse (42622102401), we get a palindrome (146823328641).

The spelling of 104201226240 in words is "one hundred four billion, two hundred one million, two hundred twenty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 5120 6144 7680 10240 15360 30720 3391967 6783934 10175901 13567868 16959835 20351802 27135736 33919670 40703604 50879505 54271472 67839340 81407208 101759010 108542944 135678680 162814416 203518020 217085888 271357360 325628832 407036040 434171776 542714720 651257664 814072080 868343552 1085429440 1302515328 1628144160 1736687104 2170858880 2605030656 3256288320 3473374208 4341717760 5210061312 6512576640 6946748416 8683435520 10420122624 13025153280 17366871040 20840245248 26050306560 34733742080 52100613120 104201226240