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4445005440 = 27352315107
BaseRepresentation
bin1000010001111000…
…10110011010000000
3102110210001200011010
410020330112122000
533100410133230
62013023520520
7215102631351
oct41074263200
912423050133
104445005440
1119810a9417
12a40759140
1355ab8cc45
143024b1d28
151b03789b0
hex108f16680

4445005440 has 64 divisors (see below), whose sum is σ = 14168460960. Its totient is φ = 1185334272.

The previous prime is 4445005391. The next prime is 4445005441. The reversal of 4445005440 is 445005444.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4445005398 and 4445005407.

It is not an unprimeable number, because it can be changed into a prime (4445005441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1155634 + ... + 1159473.

Almost surely, 24445005440 is an apocalyptic number.

4445005440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4445005440 is an abundant number, since it is smaller than the sum of its proper divisors (9723455520).

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

4445005440 is a wasteful number, since it uses less digits than its factorization.

4445005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315129 (or 2315117 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 30.

The square root of 4445005440 is about 66670.8740005709. The cubic root of 4445005440 is about 1644.2105566772.

The spelling of 4445005440 in words is "four billion, four hundred forty-five million, five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2315107 4630214 6945321 9260428 11575535 13890642 18520856 23151070 27781284 34726605 37041712 46302140 55562568 69453210 74083424 92604280 111125136 138906420 148166848 185208560 222250272 277812840 296333696 370417120 444500544 555625680 740834240 889001088 1111251360 1481668480 2222502720 4445005440