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3001023401400 = 2332521667235223
BaseRepresentation
bin101011101010111010111…
…011110000110110111000
3101121220011110222110020200
4223222322323300312320
5343132043442321100
610214352350322200
7426550105011453
oct53527273606670
911556143873220
103001023401400
11a577aa523362
124057507b9360
13189cc287176b
14a5370bb649a
15530e44e8e00
hex2babaef0db8

3001023401400 has 72 divisors (see below), whose sum is σ = 10078436929080. Its totient is φ = 800272906560.

The previous prime is 3001023401393. The next prime is 3001023401437. The reversal of 3001023401400 is 41043201003.

3001023401400 is a `hidden beast` number, since 30 + 0 + 1 + 0 + 234 + 0 + 1 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×30010234014002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 833615812 + ... + 833619411.

Almost surely, 23001023401400 is an apocalyptic number.

3001023401400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3001023401400 is an abundant number, since it is smaller than the sum of its proper divisors (7077413527680).

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

3001023401400 is a wasteful number, since it uses less digits than its factorization.

3001023401400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667235245 (or 1667235233 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 3001023401400 its reverse (41043201003), we get a palindrome (3042066602403).

The spelling of 3001023401400 in words is "three trillion, one billion, twenty-three million, four hundred one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 1667235223 3334470446 5001705669 6668940892 8336176115 10003411338 13337881784 15005117007 16672352230 20006822676 25008528345 30010234014 33344704460 40013645352 41680880575 50017056690 60020468028 66689408920 75025585035 83361761150 100034113380 120040936056 125042641725 150051170070 166723522300 200068226760 250085283450 300102340140 333447044600 375127925175 500170566900 600204680280 750255850350 1000341133800 1500511700700 3001023401400