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1440313424 = 241197239353
BaseRepresentation
bin101010111011001…
…0111000001010000
310201101012111120122
41111312113001100
510422210012144
6354530525412
750456314334
oct12566270120
93641174518
101440313424
1167a023880
12342436868
1319c524b84
14d94077c4
15866a97ee
hex55d97050

1440313424 has 80 divisors (see below), whose sum is σ = 3097301760. Its totient is φ = 643399680.

The previous prime is 1440313409. The next prime is 1440313453. The reversal of 1440313424 is 4243130441.

It is a junction number, because it is equal to n+sod(n) for n = 1440313393 and 1440313402.

It is a congruent number.

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, 4080032 + ... + 4080384.

It is an arithmetic number, because the mean of its divisors is an integer number (38716272).

Almost surely, 21440313424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1440313424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548650880).

1440313424 is an abundant number, since it is smaller than the sum of its proper divisors (1656988336).

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

1440313424 is a wasteful number, since it uses less digits than its factorization.

1440313424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 708 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 1440313424 is about 37951.4614211363. The cubic root of 1440313424 is about 1129.3251574017.

Adding to 1440313424 its reverse (4243130441), we get a palindrome (5683443865).

The spelling of 1440313424 in words is "one billion, four hundred forty million, three hundred thirteen thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 97 176 194 239 353 388 478 706 776 956 1067 1412 1552 1912 2134 2629 2824 3824 3883 4268 5258 5648 7766 8536 10516 15532 17072 21032 23183 31064 34241 42064 46366 62128 68482 84367 92732 136964 168734 185464 255013 273928 337468 370928 376651 510026 547856 674936 753302 928037 1020052 1349872 1506604 1856074 2040104 3013208 3712148 4080208 6026416 7424296 8183599 14848592 16367198 32734396 65468792 90019589 130937584 180039178 360078356 720156712 1440313424