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1214002944 = 28337112281
BaseRepresentation
bin100100001011100…
…0011011100000000
310010121100201222000
41020113003130000
54441241043234
6320244144000
742040566120
oct11027033400
93117321860
101214002944
11573300420
1229a698000
1316468804b
14b7336c80
15718a4899
hex485c3700

1214002944 has 288 divisors, whose sum is σ = 4477831680. Its totient is φ = 315187200.

The previous prime is 1214002927. The next prime is 1214002969. The reversal of 1214002944 is 4492004121.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 531084 + ... + 533364.

Almost surely, 21214002944 is an apocalyptic number.

1214002944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214002944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2238915840).

1214002944 is an abundant number, since it is smaller than the sum of its proper divisors (3263828736).

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

1214002944 is a wasteful number, since it uses less digits than its factorization.

1214002944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1214002944 is about 34842.5450275952. The cubic root of 1214002944 is about 1066.7760248990.

The spelling of 1214002944 in words is "one billion, two hundred fourteen million, two thousand, nine hundred forty-four".