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10400443140 = 22352341917987
BaseRepresentation
bin10011010111110101…
…00010101100000100
3222211211021020211210
421223322202230010
5132300003140030
64440005331420
7515506210443
oct115372425404
928754236753
1010400443140
11445786295a
122023106b70
13c99955689
14709400d5a
1540d10cbb0
hex26bea2b04

10400443140 has 96 divisors (see below), whose sum is σ = 30461598720. Its totient is φ = 2646388096.

The previous prime is 10400443127. The next prime is 10400443247. The reversal of 10400443140 is 4134400401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 569227 + ... + 587213.

It is an arithmetic number, because the mean of its divisors is an integer number (317308320).

Almost surely, 210400443140 is an apocalyptic number.

10400443140 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 10400443140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15230799360).

10400443140 is an abundant number, since it is smaller than the sum of its proper divisors (20061155580).

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

10400443140 is a wasteful number, since it uses less digits than its factorization.

10400443140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18441 (or 18439 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10400443140 its reverse (4134400401), we get a palindrome (14534843541).

The spelling of 10400443140 in words is "ten billion, four hundred million, four hundred forty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 419 460 690 838 1257 1380 1676 2095 2514 4190 5028 6285 8380 9637 12570 17987 19274 25140 28911 35974 38548 48185 53961 57822 71948 89935 96370 107922 115644 144555 179870 192740 215844 269805 289110 359740 413701 539610 578220 827402 1079220 1241103 1654804 2068505 2482206 4137010 4964412 6205515 7536553 8274020 12411030 15073106 22609659 24822060 30146212 37682765 45219318 75365530 90438636 113048295 150731060 173340719 226096590 346681438 452193180 520022157 693362876 866703595 1040044314 1733407190 2080088628 2600110785 3466814380 5200221570 10400443140