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2001000144 = 2431113291521
BaseRepresentation
bin111011101000100…
…1101011011010000
312011110020100011110
41313101031123100
513044224001034
6530320213320
7100405135443
oct16721153320
95143210143
102001000144
11937570030
1247a16a240
1325b737670
1414da7965a
15baa0dde9
hex7744d6d0

2001000144 has 80 divisors (see below), whose sum is σ = 6072986304. Its totient is φ = 559718400.

The previous prime is 2001000139. The next prime is 2001000151. The reversal of 2001000144 is 4410001002.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138897 + ... + 152624.

Almost surely, 22001000144 is an apocalyptic number.

2001000144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2001000144 is an abundant number, since it is smaller than the sum of its proper divisors (4071986160).

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

2001000144 is a wasteful number, since it uses less digits than its factorization.

2001000144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291556 (or 291550 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2001000144 is about 44732.5401022567. The cubic root of 2001000144 is about 1260.1310319765.

Adding to 2001000144 its reverse (4410001002), we get a palindrome (6411001146).

The spelling of 2001000144 in words is "two billion, one million, one hundred forty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 6864 291521 583042 874563 1166084 1749126 2332168 3206731 3498252 3789773 4664336 6413462 6996504 7579546 9620193 11369319 12826924 13993008 15159092 19240386 22738638 25653848 30318184 38480772 41687503 45477276 51307696 60636368 76961544 83375006 90954552 125062509 153923088 166750012 181909104 250125018 333500024 500250036 667000048 1000500072 2001000144