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2121342414440 = 235192854797777
BaseRepresentation
bin11110110111101001110…
…111000110111001101000
321111210120000000011212212
4132313221313012321220
5234224002124230230
64302310430024252
7306155562003134
oct36675167067150
97453500004785
102121342414440
11748724542827
122a3169348088
131250708b71c2
14749601d83c4
153a2aac50895
hex1ede9dc6e68

2121342414440 has 64 divisors (see below), whose sum is σ = 5024459419200. Its totient is φ = 803840744448.

The previous prime is 2121342414437. The next prime is 2121342414461. The reversal of 2121342414440 is 444142431212.

It is a junction number, because it is equal to n+sod(n) for n = 2121342414397 and 2121342414406.

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, 21646832 + ... + 21744608.

It is an arithmetic number, because the mean of its divisors is an integer number (78507178425).

Almost surely, 22121342414440 is an apocalyptic number.

2121342414440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121342414440 is an abundant number, since it is smaller than the sum of its proper divisors (2903117004760).

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

2121342414440 is a wasteful number, since it uses less digits than its factorization.

2121342414440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126354 (or 126350 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 2121342414440 its reverse (444142431212), we get a palindrome (2565484845652).

The spelling of 2121342414440 in words is "two trillion, one hundred twenty-one billion, three hundred forty-two million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 28547 57094 97777 114188 142735 195554 228376 285470 391108 488885 542393 570940 782216 977770 1084786 1141880 1857763 1955540 2169572 2711965 3715526 3911080 4339144 5423930 7431052 9288815 10847860 14862104 18577630 21695720 37155260 74310520 2791240019 5582480038 11164960076 13956200095 22329920152 27912400190 53033560361 55824800380 106067120722 111649600760 212134241444 265167801805 424268482888 530335603610 1060671207220 2121342414440