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143045346320 = 24516713617867
BaseRepresentation
bin1000010100111000101…
…0101100010000010000
3111200020002001111112122
42011032022230100100
54320424102040240
6145414130113412
713222540245002
oct2051612542020
9450202044478
10143045346320
1155735406988
122388171b868
1310648792676
146ccdc7a372
153ac32714b5
hex214e2ac410

143045346320 has 80 divisors (see below), whose sum is σ = 334860317568. Its totient is φ = 56826501120.

The previous prime is 143045346299. The next prime is 143045346371. The reversal of 143045346320 is 23643540341.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1430453463202 (a number of 23 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 18179027 + ... + 18186893.

Almost surely, 2143045346320 is an apocalyptic number.

143045346320 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 143045346320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167430158784).

143045346320 is an abundant number, since it is smaller than the sum of its proper divisors (191814971248).

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

143045346320 is a wasteful number, since it uses less digits than its factorization.

143045346320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9408 (or 9402 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

Adding to 143045346320 its reverse (23643540341), we get a palindrome (166688886661).

The spelling of 143045346320 in words is "one hundred forty-three billion, forty-five million, three hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 835 1336 1361 1670 2672 2722 3340 5444 6680 6805 7867 10888 13360 13610 15734 21776 27220 31468 39335 54440 62936 78670 108880 125872 157340 227287 314680 454574 629360 909148 1136435 1313789 1818296 2272870 2627578 3636592 4545740 5255156 6568945 9091480 10510312 10706987 13137890 18182960 21020624 21413974 26275780 42827948 52551560 53534935 85655896 105103120 107069870 171311792 214139740 428279480 856558960 1788066829 3576133658 7152267316 8940334145 14304534632 17880668290 28609069264 35761336580 71522673160 143045346320