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10405421440 = 27519855709
BaseRepresentation
bin10011011000011011…
…00010000110000000
3222212011122011210021
421230031202012000
5132302241441230
64440304143224
7515566423441
oct115415420600
928764564707
1010405421440
11445a653157
122024907b14
13c9a9a960b
14709d392c8
1540d792c7a
hex26c362180

10405421440 has 64 divisors (see below), whose sum is σ = 26184726000. Its totient is φ = 3943102464.

The previous prime is 10405421431. The next prime is 10405421443. The reversal of 10405421440 is 4412450401.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10405421443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 415695 + ... + 440014.

Almost surely, 210405421440 is an apocalyptic number.

10405421440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10405421440 is an abundant number, since it is smaller than the sum of its proper divisors (15779304560).

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

10405421440 is an equidigital number, since it uses as much as digits as its factorization.

10405421440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855747 (or 855735 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 10405421440 its reverse (4412450401), we get a palindrome (14817871841).

The spelling of 10405421440 in words is "ten billion, four hundred five million, four hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 304 320 380 608 640 760 1216 1520 2432 3040 6080 12160 855709 1711418 3422836 4278545 6845672 8557090 13691344 16258471 17114180 27382688 32516942 34228360 54765376 65033884 68456720 81292355 109530752 130067768 136913440 162584710 260135536 273826880 325169420 520271072 547653760 650338840 1040542144 1300677680 2081084288 2601355360 5202710720 10405421440