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10211310043440 = 2435113867920471
BaseRepresentation
bin1001010010011000000110…
…0000100000000100110000
31100011012011202100200012120
42110212001200200010300
52314300230332342230
633415002220354240
72102512532154012
oct224460140400460
940135152320176
1010211310043440
113287657347260
12118b02b0a5980
13590bcb6a839c
1427433134a1b2
1512a94629b310
hex94981820130

10211310043440 has 80 divisors (see below), whose sum is σ = 34532793974016. Its totient is φ = 2475469100800.

The previous prime is 10211310043409. The next prime is 10211310043469. The reversal of 10211310043440 is 4434001311201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×102113100434402 (a number of 27 digits) contains 22 as substring.

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 10211310043440.

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, 1933957596 + ... + 1933962875.

Almost surely, 210211310043440 is an apocalyptic number.

10211310043440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211310043440 is an abundant number, since it is smaller than the sum of its proper divisors (24321483930576).

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

10211310043440 is a wasteful number, since it uses less digits than its factorization.

10211310043440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3867920498 (or 3867920492 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 10211310043440 its reverse (4434001311201), we get a palindrome (14645311354641).

The spelling of 10211310043440 in words is "ten trillion, two hundred eleven billion, three hundred ten million, forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 3867920471 7735840942 11603761413 15471681884 19339602355 23207522826 30943363768 38679204710 42547125181 46415045652 58018807065 61886727536 77358409420 85094250362 92830091304 116037614130 127641375543 154716818840 170188500724 185660182608 212735625905 232075228260 255282751086 309433637680 340377001448 425471251810 464150456520 510565502172 638206877715 680754002896 850942503620 928300913040 1021131004344 1276413755430 1701885007240 2042262008688 2552827510860 3403770014480 5105655021720 10211310043440