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1420741440 = 26325493313
BaseRepresentation
bin101010010101110…
…1100101101000000
310200000101010212100
41110223230231000
510402202211230
6352551230400
750131050216
oct12453545500
93600333770
101420741440
11669a76088
12337978400
13198461511
14d6990cb6
1584ae0660
hex54aecb40

1420741440 has 84 divisors (see below), whose sum is σ = 4886768484. Its totient is φ = 378863616.

The previous prime is 1420741433. The next prime is 1420741547. The reversal of 1420741440 is 441470241.

1420741440 is a `hidden beast` number, since 1 + 4 + 207 + 414 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 721244736 + 699496704 = 26856^2 + 26448^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 243777 + ... + 249536.

Almost surely, 21420741440 is an apocalyptic number.

1420741440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1420741440 is an abundant number, since it is smaller than the sum of its proper divisors (3466027044).

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

1420741440 is a wasteful number, since it uses less digits than its factorization.

1420741440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493336 (or 493323 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 1420741440 is about 37692.7239663042. The cubic root of 1420741440 is about 1124.1864577558.

The spelling of 1420741440 in words is "one billion, four hundred twenty million, seven hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 493313 986626 1479939 1973252 2466565 2959878 3946504 4439817 4933130 5919756 7399695 7893008 8879634 9866260 11839512 14799390 15786016 17759268 19732520 22199085 23679024 29598780 31572032 35518536 39465040 44398170 47358048 59197560 71037072 78930080 88796340 94716096 118395120 142074144 157860160 177592680 236790240 284148288 355185360 473580480 710370720 1420741440