Search a number
-
+
42375643274000 = 245323741892457
BaseRepresentation
bin10011010001010010110010…
…01010100001101100010000
312120001001221102212100111102
421220221121022201230100
521023240304134232000
6230043033552203532
711632352641512611
oct1150513112415420
9176031842770442
1042375643274000
1112558455996533
1249048252395a8
131a850102a135a
14a66dc6393c08
154d744b13a3d5
hex268a592a1b10

42375643274000 has 80 divisors (see below), whose sum is σ = 102468736174896. Its totient is φ = 16949524352000.

The previous prime is 42375643273981. The next prime is 42375643274011. The reversal of 42375643274000 is 47234657324.

It can be written as a sum of positive squares in 8 ways, for example, as 1048436740624 + 41327206533376 = 1023932^2 + 6428624^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47035772 + ... + 47928228.

Almost surely, 242375643274000 is an apocalyptic number.

42375643274000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42375643274000 is an abundant number, since it is smaller than the sum of its proper divisors (60093092900896).

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

42375643274000 is a wasteful number, since it uses less digits than its factorization.

42375643274000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916221 (or 916205 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 47.

The spelling of 42375643274000 in words is "forty-two trillion, three hundred seventy-five billion, six hundred forty-three million, two hundred seventy-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 23741 47482 94964 118705 189928 237410 379856 474820 593525 892457 949640 1187050 1784914 1899280 2374100 2967625 3569828 4462285 4748200 5935250 7139656 8924570 9496400 11870500 14279312 17849140 22311425 23741000 35698280 44622850 47482000 71396560 89245700 111557125 178491400 223114250 356982800 446228500 892457000 1784914000 21187821637 42375643274 84751286548 105939108185 169502573096 211878216370 339005146192 423756432740 529695540925 847512865480 1059391081850 1695025730960 2118782163700 2648477704625 4237564327400 5296955409250 8475128654800 10593910818500 21187821637000 42375643274000