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10421235440 = 2457111691759
BaseRepresentation
bin10011011010010011…
…10110111011110000
3222220021101121111222
421231021312323300
5132320314013230
64442031124212
7516151016420
oct115511667360
928807347458
1010421235440
114468574480
12202a073668
13ca1055605
1470c094480
1540ed686e5
hex26d276ef0

10421235440 has 80 divisors (see below), whose sum is σ = 30208066560. Its totient is φ = 3248175360.

The previous prime is 10421235427. The next prime is 10421235491. The reversal of 10421235440 is 4453212401.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 839720 + ... + 852039.

It is an arithmetic number, because the mean of its divisors is an integer number (377600832).

Almost surely, 210421235440 is an apocalyptic number.

10421235440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10421235440 is an abundant number, since it is smaller than the sum of its proper divisors (19786831120).

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

10421235440 is a wasteful number, since it uses less digits than its factorization.

10421235440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691790 (or 1691784 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 10421235440 its reverse (4453212401), we get a palindrome (14874447841).

The spelling of 10421235440 in words is "ten billion, four hundred twenty-one million, two hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 1691759 3383518 6767036 8458795 11842313 13534072 16917590 18609349 23684626 27068144 33835180 37218698 47369252 59211565 67670360 74437396 93046745 94738504 118423130 130265443 135340720 148874792 186093490 189477008 236846260 260530886 297749584 372186980 473692520 521061772 651327215 744373960 947385040 1042123544 1302654430 1488747920 2084247088 2605308860 5210617720 10421235440