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2142443776 = 28116611151
BaseRepresentation
bin111111110110011…
…0001100100000000
312112022101102100111
41333230301210000
513341431200101
6552332001104
7104043320524
oct17754614400
95468342314
102142443776
119aa3987a0
124b9600194
13281b2bb15
14164777d84
15c814d251
hex7fb31900

2142443776 has 72 divisors (see below), whose sum is σ = 4676410368. Its totient is φ = 971520000.

The previous prime is 2142443761. The next prime is 2142443777. The reversal of 2142443776 is 6773442412.

It is a super-2 number, since 2×21424437762 = 9180130666642276352, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2142443777) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1860801 + ... + 1861951.

It is an arithmetic number, because the mean of its divisors is an integer number (64950144).

Almost surely, 22142443776 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142443776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338205184).

2142443776 is an abundant number, since it is smaller than the sum of its proper divisors (2533966592).

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

2142443776 is a wasteful number, since it uses less digits than its factorization.

2142443776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1839 (or 1825 counting only the distinct ones).

The product of its digits is 225792, while the sum is 40.

The square root of 2142443776 is about 46286.5399009258. The cubic root of 2142443776 is about 1289.1490844931.

The spelling of 2142443776 in words is "two billion, one hundred forty-two million, four hundred forty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 661 704 1151 1322 1408 2302 2644 2816 4604 5288 7271 9208 10576 12661 14542 18416 21152 25322 29084 36832 42304 50644 58168 73664 84608 101288 116336 147328 169216 202576 232672 294656 405152 465344 760811 810304 930688 1521622 1620608 1861376 3043244 3241216 6086488 8368921 12172976 16737842 24345952 33475684 48691904 66951368 97383808 133902736 194767616 267805472 535610944 1071221888 2142443776