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114222044313120 = 2535976924358951
BaseRepresentation
bin11001111110001001100100…
…011000000111011000100000
3112222102112001122210022012010
4121332021210120013120200
5104432403221321004440
61042532514402032520
733026161511166312
oct3176114430073040
9488375048708163
10114222044313120
113343832a285757
1210988bb7648740
134b97128484b03
14202c53ad597b2
15d3129e0c5580
hex67e264607620

114222044313120 has 96 divisors (see below), whose sum is σ = 359836285092480. Its totient is φ = 30456092620800.

The previous prime is 114222044313037. The next prime is 114222044313151. The reversal of 114222044313120 is 21313440222411.

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 (30).

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, 7490356 + ... + 16868595.

It is an arithmetic number, because the mean of its divisors is an integer number (3748294636380).

Almost surely, 2114222044313120 is an apocalyptic number.

114222044313120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114222044313120 is an abundant number, since it is smaller than the sum of its proper divisors (245614240779360).

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

114222044313120 is a wasteful number, since it uses less digits than its factorization.

114222044313120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24368738 (or 24368730 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 114222044313120 its reverse (21313440222411), we get a palindrome (135535484535531).

The spelling of 114222044313120 in words is "one hundred fourteen trillion, two hundred twenty-two billion, forty-four million, three hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 9769 19538 29307 39076 48845 58614 78152 97690 117228 146535 156304 195380 234456 293070 312608 390760 468912 586140 781520 937824 1172280 1563040 2344560 4689120 24358951 48717902 73076853 97435804 121794755 146153706 194871608 243589510 292307412 365384265 389743216 487179020 584614824 730768530 779486432 974358040 1169229648 1461537060 1948716080 2338459296 2923074120 3897432160 5846148240 11692296480 237962592319 475925184638 713887776957 951850369276 1189812961595 1427775553914 1903700738552 2379625923190 2855551107828 3569438884785 3807401477104 4759251846380 5711102215656 7138877769570 7614802954208 9518503692760 11422204431312 14277755539140 19037007385520 22844408862624 28555511078280 38074014771040 57111022156560 114222044313120