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4024144100 = 2252311298111
BaseRepresentation
bin1110111111011011…
…1001000011100100
3101101110010200221002
43233312321003210
531220140102400
61503151212432
7201502442354
oct35766710344
911343120832
104024144100
111785585029
12943817118
134c1926172
142a263ab64
15188443ed5
hexefdb90e4

4024144100 has 36 divisors (see below), whose sum is σ = 9014089728. Its totient is φ = 1557732000.

The previous prime is 4024144099. The next prime is 4024144123. The reversal of 4024144100 is 14414204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 645956 + ... + 652155.

Almost surely, 24024144100 is an apocalyptic number.

It is an amenable number.

4024144100 is an abundant number, since it is smaller than the sum of its proper divisors (4989945628).

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

4024144100 is a wasteful number, since it uses less digits than its factorization.

4024144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1298156 (or 1298149 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 4024144100 is about 63436.1419066450. The cubic root of 4024144100 is about 1590.5885114944.

Adding to 4024144100 its reverse (14414204), we get a palindrome (4038558304).

The spelling of 4024144100 in words is "four billion, twenty-four million, one hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 775 1550 3100 1298111 2596222 5192444 6490555 12981110 25962220 32452775 40241441 64905550 80482882 129811100 160965764 201207205 402414410 804828820 1006036025 2012072050 4024144100