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4401425032000 = 26531134868833
BaseRepresentation
bin100000000001100100101…
…1000000010001101000000
3120120202211212201012022221
41000003021120002031000
51034103104302011000
613205553045340424
7632664262324303
oct100031130021500
916522755635287
104401425032000
1114476a775a667
125b1038407714
1325c08b73b179
1411305c88cb3a
1579757a4061a
hex400c9602340

4401425032000 has 112 divisors (see below), whose sum is σ = 10996592669712. Its totient is φ = 1744989388800.

The previous prime is 4401425031977. The next prime is 4401425032001. The reversal of 4401425032000 is 2305241044.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2469147107904 + 1932277924096 = 1571352^2 + 1390064^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4401425032001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1530417 + ... + 3338416.

Almost surely, 24401425032000 is an apocalyptic number.

4401425032000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4401425032000 is an abundant number, since it is smaller than the sum of its proper divisors (6595167637712).

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

4401425032000 is a wasteful number, since it uses less digits than its factorization.

4401425032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4868973 (or 4868953 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The spelling of 4401425032000 in words is "four trillion, four hundred one billion, four hundred twenty-five million, thirty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 113 125 160 200 226 250 320 400 452 500 565 800 904 1000 1130 1600 1808 2000 2260 2825 3616 4000 4520 5650 7232 8000 9040 11300 14125 18080 22600 28250 36160 45200 56500 90400 113000 180800 226000 452000 904000 4868833 9737666 19475332 24344165 38950664 48688330 77901328 97376660 121720825 155802656 194753320 243441650 311605312 389506640 486883300 550178129 608604125 779013280 973766600 1100356258 1217208250 1558026560 1947533200 2200712516 2434416500 2750890645 3895066400 4401425032 4868833000 5501781290 7790132800 8802850064 9737666000 11003562580 13754453225 17605700128 19475332000 22007125160 27508906450 35211400256 38950664000 44014250320 55017812900 68772266125 88028500640 110035625800 137544532250 176057001280 220071251600 275089064500 440142503200 550178129000 880285006400 1100356258000 2200712516000 4401425032000