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1420641440 = 25535325153
BaseRepresentation
bin101010010101101…
…0100010010100000
310200000012001200122
41110223110102200
510402141011230
6352545135412
750130152531
oct12453242240
93600161618
101420641440
11669a07a39
1233792a568
13198427b4a
14d6966688
1584ac0be5
hex54ad44a0

1420641440 has 48 divisors (see below), whose sum is σ = 3365907048. Its totient is φ = 566624256.

The previous prime is 1420641427. The next prime is 1420641451. The reversal of 1420641440 is 441460241.

It can be written as a sum of positive squares in 4 ways, for example, as 1111022224 + 309619216 = 33332^2 + 17596^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43904 + ... + 69056.

Almost surely, 21420641440 is an apocalyptic number.

1420641440 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 1420641440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1682953524).

1420641440 is an abundant number, since it is smaller than the sum of its proper divisors (1945265608).

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

1420641440 is a wasteful number, since it uses less digits than its factorization.

1420641440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25521 (or 25513 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 1420641440 is about 37691.3974269992. The cubic root of 1420641440 is about 1124.1600815552.

The spelling of 1420641440 in words is "one billion, four hundred twenty million, six hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 353 706 1412 1765 2824 3530 5648 7060 11296 14120 25153 28240 50306 56480 100612 125765 201224 251530 402448 503060 804896 1006120 2012240 4024480 8879009 17758018 35516036 44395045 71032072 88790090 142064144 177580180 284128288 355160360 710320720 1420641440