Search a number
-
+
42400002242024 = 23743153111500963
BaseRepresentation
bin10011010010000000001010…
…00100100111010111101000
312120010101211001120010202022
421221000011010213113220
521024140201033221044
6230102143033324012
711634204403361240
oct1151000504472750
9176111731503668
1042400002242024
1112567815999769
1249094a2b66608
131a873c2a737bb
14a68257552b20
154d7dc48d73ee
hex2690051275e8

42400002242024 has 64 divisors (see below), whose sum is σ = 93030837757440. Its totient is φ = 17737243634880.

The previous prime is 42400002241967. The next prime is 42400002242083. The reversal of 42400002242024 is 42024220000424.

It is a junction number, because it is equal to n+sod(n) for n = 42400002241984 and 42400002242002.

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, 2063834 + ... + 9437129.

It is an arithmetic number, because the mean of its divisors is an integer number (1453606839960).

Almost surely, 242400002242024 is an apocalyptic number.

It is an amenable number.

42400002242024 is an abundant number, since it is smaller than the sum of its proper divisors (50630835515416).

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

42400002242024 is a wasteful number, since it uses less digits than its factorization.

42400002242024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11502550 (or 11502546 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 26.

Adding to 42400002242024 its reverse (42024220000424), we get a palindrome (84424222242448).

The spelling of 42400002242024 in words is "forty-two trillion, four hundred billion, two million, two hundred forty-two thousand, twenty-four".

Divisors: 1 2 4 7 8 14 28 43 56 86 172 301 344 602 1204 1531 2408 3062 6124 10717 12248 21434 42868 65833 85736 131666 263332 460831 526664 921662 1843324 3686648 11500963 23001926 46003852 80506741 92007704 161013482 322026964 494541409 644053928 989082818 1978165636 3461789863 3956331272 6923579726 13847159452 17607974353 27694318904 35215948706 70431897412 123255820471 140863794824 246511640942 493023281884 757142897179 986046563768 1514285794358 3028571588716 5300000280253 6057143177432 10600000560506 21200001121012 42400002242024