Search a number
-
+
10424302639440 = 243597447779323
BaseRepresentation
bin1001011110110001100011…
…0110110001100101010000
31100220112221120111121210020
42113230120312301211100
52331242432433430230
634100505235103440
72124062636310444
oct227543066614520
940815846447706
1010424302639440
113359a160960a8
121204371a41b80
135a80136a6191
14280778bca824
151312601ad810
hex97b18db1950

10424302639440 has 80 divisors (see below), whose sum is σ = 32648486071488. Its totient is φ = 2751156154368.

The previous prime is 10424302639357. The next prime is 10424302639447. The reversal of 10424302639440 is 4493620342401.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10424302639392 and 10424302639401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10424302639447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223866382 + ... + 223912941.

Almost surely, 210424302639440 is an apocalyptic number.

10424302639440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10424302639440 is an abundant number, since it is smaller than the sum of its proper divisors (22224183432048).

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

10424302639440 is a wasteful number, since it uses less digits than its factorization.

10424302639440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447779436 (or 447779430 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 10424302639440 in words is "ten trillion, four hundred twenty-four billion, three hundred two million, six hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 776 970 1164 1455 1552 1940 2328 2910 3880 4656 5820 7760 11640 23280 447779323 895558646 1343337969 1791117292 2238896615 2686675938 3582234584 4477793230 5373351876 6716689845 7164469168 8955586460 10746703752 13433379690 17911172920 21493407504 26866759380 35822345840 43434594331 53733518760 86869188662 107467037520 130303782993 173738377324 217172971655 260607565986 347476754648 434345943310 521215131972 651518914965 694953509296 868691886620 1042430263944 1303037829930 1737383773240 2084860527888 2606075659860 3474767546480 5212151319720 10424302639440