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20110001440 = 255413065549
BaseRepresentation
bin10010101110101001…
…100100010100100000
31220220111111220212011
4102232221210110200
5312141130021230
613123255042304
71311226122544
oct225651442440
956814456764
1020110001440
11858a631801
123a92970394
131b86410849
14d8ab5ba24
157ca748e2a
hex4aea64520

20110001440 has 48 divisors (see below), whose sum is σ = 48668671800. Its totient is φ = 7847802880.

The previous prime is 20110001419. The next prime is 20110001441. The reversal of 20110001440 is 4410001102.

It can be written as a sum of positive squares in 4 ways, for example, as 5614804624 + 14495196816 = 74932^2 + 120396^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 20110001440.

It is not an unprimeable number, because it can be changed into a prime (20110001441) 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, 1526215 + ... + 1539334.

Almost surely, 220110001440 is an apocalyptic number.

20110001440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20110001440 is an abundant number, since it is smaller than the sum of its proper divisors (28558670360).

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

20110001440 is a wasteful number, since it uses less digits than its factorization.

20110001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065605 (or 3065597 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20110001440 its reverse (4410001102), we get a palindrome (24520002542).

The spelling of 20110001440 in words is "twenty billion, one hundred ten million, one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 3065549 6131098 12262196 15327745 24524392 30655490 49048784 61310980 98097568 122621960 125687509 245243920 251375018 490487840 502750036 628437545 1005500072 1256875090 2011000144 2513750180 4022000288 5027500360 10055000720 20110001440