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143930941440 = 2133511138191
BaseRepresentation
bin1000011000001011110…
…0111110000000000000
3111202111210110101122220
42012002330332000000
54324232310111230
6150042043331040
713253512546656
oct2060274760000
9452453411586
10143930941440
115604a29a680
1223a8a220a80
131075a0b4550
146d75726dd6
153b25da4d10
hex2182f3e000

143930941440 has 448 divisors, whose sum is σ = 541132849152. Its totient is φ = 32204390400.

The previous prime is 143930941403. The next prime is 143930941463. The reversal of 143930941440 is 44149039341.

It is a super-2 number, since 2×1439309414402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 143930941392 and 143930941401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17567745 + ... + 17575935.

It is an arithmetic number, because the mean of its divisors is an integer number (1207885824).

Almost surely, 2143930941440 is an apocalyptic number.

143930941440 is a gapful number since it is divisible by the number (10) 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 143930941440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270566424576).

143930941440 is an abundant number, since it is smaller than the sum of its proper divisors (397201907712).

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

143930941440 is a wasteful number, since it uses less digits than its factorization.

143930941440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8249 (or 8225 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 143930941440 in words is "one hundred forty-three billion, nine hundred thirty million, nine hundred forty-one thousand, four hundred forty".