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143042844672 = 21133721331131
BaseRepresentation
bin1000010100111000000…
…1001001100000000000
3111200012220100101221000
42011032001021200000
54320422432012142
6145414000332000
713222510055400
oct2051601114000
9450186311830
10143042844672
1155733a58402
1223880914000
13106480c7ac0
146ccd7c8800
153ac2e2a14c
hex214e049800

143042844672 has 1152 divisors, whose sum is σ = 552129177600. Its totient is φ = 36229939200.

The previous prime is 143042844653. The next prime is 143042844697. The reversal of 143042844672 is 276448240341.

143042844672 is a `hidden beast` number, since 1 + 4 + 304 + 284 + 4 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1430428446722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1091930047 + ... + 1091930177.

It is an arithmetic number, because the mean of its divisors is an integer number (479278800).

Almost surely, 2143042844672 is an apocalyptic number.

143042844672 is a gapful number since it is divisible by the number (12) 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 143042844672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276064588800).

143042844672 is an abundant number, since it is smaller than the sum of its proper divisors (409086332928).

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

143042844672 is a wasteful number, since it uses less digits than its factorization.

143042844672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 143042844672 in words is "one hundred forty-three billion, forty-two million, eight hundred forty-four thousand, six hundred seventy-two".