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2144521104 = 2431123176591
BaseRepresentation
bin111111111010010…
…1100101110010000
312112110021221220120
41333310230232100
513342444133404
6552444310240
7104100062055
oct17764545620
95473257816
102144521104
11a005874a0
124ba242380
132823a84cb
14164b5902c
15c840d9d9
hex7fd2cb90

2144521104 has 80 divisors (see below), whose sum is σ = 6306453504. Its totient is φ = 621596800.

The previous prime is 2144521103. The next prime is 2144521129. The reversal of 2144521104 is 4011254412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2144521103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76152 + ... + 100439.

Almost surely, 22144521104 is an apocalyptic number.

2144521104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2144521104 is an abundant number, since it is smaller than the sum of its proper divisors (4161932400).

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

2144521104 is a wasteful number, since it uses less digits than its factorization.

2144521104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176636 (or 176630 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 2144521104 is about 46308.9743354352. The cubic root of 2144521104 is about 1289.5656057968.

Adding to 2144521104 its reverse (4011254412), we get a palindrome (6155775516).

The spelling of 2144521104 in words is "two billion, one hundred forty-four million, five hundred twenty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 33 44 46 48 66 69 88 92 132 138 176 184 253 264 276 368 506 528 552 759 1012 1104 1518 2024 3036 4048 6072 12144 176591 353182 529773 706364 1059546 1412728 1942501 2119092 2825456 3885002 4061593 4238184 5827503 7770004 8123186 8476368 11655006 12184779 15540008 16246372 23310012 24369558 31080016 32492744 44677523 46620024 48739116 64985488 89355046 93240048 97478232 134032569 178710092 194956464 268065138 357420184 536130276 714840368 1072260552 2144521104