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104420013440 = 275733222587
BaseRepresentation
bin110000100111111101…
…0101111010110000000
3100222112012200021211012
41201033322233112000
53202323010412230
6115545255140052
710354424320031
oct1411772572600
9328465607735
10104420013440
1140314414676
12182a2074628
139b0145c002
1450a80a8a88
152ab22c8395
hex184feaf580

104420013440 has 64 divisors (see below), whose sum is σ = 249970775760. Its totient is φ = 41710835712.

The previous prime is 104420013413. The next prime is 104420013473. The reversal of 104420013440 is 44310024401.

It is a happy number.

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

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 7 ways as a sum of consecutive naturals, for example, 357827 + ... + 580413.

Almost surely, 2104420013440 is an apocalyptic number.

104420013440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104420013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124985387880).

104420013440 is an abundant number, since it is smaller than the sum of its proper divisors (145550762320).

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

104420013440 is an equidigital number, since it uses as much as digits as its factorization.

104420013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223339 (or 223327 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 104420013440 its reverse (44310024401), we get a palindrome (148730037841).

The spelling of 104420013440 in words is "one hundred four billion, four hundred twenty million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 733 1466 2932 3665 5864 7330 11728 14660 23456 29320 46912 58640 93824 117280 222587 234560 445174 469120 890348 1112935 1780696 2225870 3561392 4451740 7122784 8903480 14245568 17806960 28491136 35613920 71227840 142455680 163156271 326312542 652625084 815781355 1305250168 1631562710 2610500336 3263125420 5221000672 6526250840 10442001344 13052501680 20884002688 26105003360 52210006720 104420013440