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122311440014240 = 2552931850329811
BaseRepresentation
bin11011110011110111011001…
…111011110001101110100000
3121001001212012112221211221202
4123303313121323301232200
5112012422312120423430
61112045033322140332
734522465335140021
oct3363673173615640
9531055175854852
10122311440014240
1135a76a99265314
12118749399516a8
135332bc4928a29
14222bc96150c48
15e219042ead45
hex6f3dd9ef1ba0

122311440014240 has 96 divisors (see below), whose sum is σ = 308567682178560. Its totient is φ = 45713730585600.

The previous prime is 122311440014237. The next prime is 122311440014311. The reversal of 122311440014240 is 42410044113221.

It is a super-2 number, since 2×1223114400142402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 425021066 + ... + 425308745.

It is an arithmetic number, because the mean of its divisors is an integer number (3214246689360).

Almost surely, 2122311440014240 is an apocalyptic number.

122311440014240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122311440014240 is an abundant number, since it is smaller than the sum of its proper divisors (186256242164320).

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

122311440014240 is a wasteful number, since it uses less digits than its factorization.

122311440014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850329886 (or 850329878 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 122311440014240 its reverse (42410044113221), we get a palindrome (164721484127461).

The spelling of 122311440014240 in words is "one hundred twenty-two trillion, three hundred eleven billion, four hundred forty million, fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 31 32 40 58 62 80 116 124 145 155 160 232 248 290 310 464 496 580 620 899 928 992 1160 1240 1798 2320 2480 3596 4495 4640 4960 7192 8990 14384 17980 28768 35960 71920 143840 850329811 1700659622 3401319244 4251649055 6802638488 8503298110 13605276976 17006596220 24659564519 26360224141 27210553952 34013192440 49319129038 52720448282 68026384880 98638258076 105440896564 123297822595 131801120705 136052769760 197276516152 210881793128 246595645190 263602241410 394553032304 421763586256 493191290380 527204482820 764446500089 789106064608 843527172512 986382580760 1054408965640 1528893000178 1972765161520 2108817931280 3057786000356 3822232500445 3945530323040 4217635862560 6115572000712 7644465000890 12231144001424 15288930001780 24462288002848 30577860003560 61155720007120 122311440014240