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21434111013140 = 22574332141110777
BaseRepresentation
bin1001101111110100001001…
…00100101011000100010100
32210220002012001100022100122
410313322010210223010110
510302134024404410030
6113330410014131112
74341364152345560
oct467720444530424
983802161308318
1021434111013140
116914178976381
1224a20a84b0a98
13bc62c6ba2947
145415b8c826a0
1527283c9c28e5
hex137e8492b114

21434111013140 has 96 divisors (see below), whose sum is σ = 52640301821184. Its totient is φ = 7177646730240.

The previous prime is 21434111013127. The next prime is 21434111013143. The reversal of 21434111013140 is 4131011143412.

It is a super-2 number, since 2×214341110131402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21434111013143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193433432 + ... + 193544208.

It is an arithmetic number, because the mean of its divisors is an integer number (548336477304).

Almost surely, 221434111013140 is an apocalyptic number.

21434111013140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21434111013140 is an abundant number, since it is smaller than the sum of its proper divisors (31206190808044).

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

21434111013140 is a wasteful number, since it uses less digits than its factorization.

21434111013140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142977 (or 142975 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 21434111013140 its reverse (4131011143412), we get a palindrome (25565122156552).

The spelling of 21434111013140 in words is "twenty-one trillion, four hundred thirty-four billion, one hundred eleven million, thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 3010 6020 32141 64282 110777 128564 160705 221554 224987 321410 443108 449974 553885 642820 775439 899948 1107770 1124935 1382063 1550878 2215540 2249870 2764126 3101756 3877195 4499740 4763411 5528252 6910315 7754390 9526822 9674441 13820630 15508780 19053644 19348882 23817055 27641260 33343877 38697764 47634110 48372205 66687754 95268220 96744410 133375508 166719385 193488820 333438770 666877540 3560483557 7120967114 14241934228 17802417785 24923384899 35604835570 49846769798 71209671140 99693539596 124616924495 153100792951 249233848990 306201585902 498467697980 612403171804 765503964755 1071705550657 1531007929510 2143411101314 3062015859020 4286822202628 5358527753285 10717055506570 21434111013140