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143920079424 = 26341124792
BaseRepresentation
bin1000011000001001001…
…1100010001001000000
3111202111001000112210000
42012002103202021000
54324222020020144
6150041014440000
713253321330202
oct2060223421100
9452431015700
10143920079424
1156044150900
1223a86663000
1310757a80514
146d740da772
153b24e5b769
hex21824e2240

143920079424 has 315 divisors, whose sum is σ = 469915068931. Its totient is φ = 43521096960.

The previous prime is 143920079393. The next prime is 143920079431. The reversal of 143920079424 is 424970029341.

The square root of 143920079424 is 379368.

It is a perfect power (a square), and thus also a powerful number.

143920079424 is a `hidden beast` number, since 1 + 439 + 200 + 7 + 9 + 4 + 2 + 4 = 666.

It is a super-2 number, since 2×1439200794242 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 143920079424.

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 44 ways as a sum of consecutive naturals, for example, 300459217 + ... + 300459695.

Almost surely, 2143920079424 is an apocalyptic number.

143920079424 is the 379368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143920079424

143920079424 is an abundant number, since it is smaller than the sum of its proper divisors (325994989507).

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

143920079424 is an frugal number, since it uses more digits than its factorization.

143920079424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 495 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 143920079424 in words is "one hundred forty-three billion, nine hundred twenty million, seventy-nine thousand, four hundred twenty-four".