Search a number
-
+
43020312144 = 24310741919991
BaseRepresentation
bin101000000100001101…
…011101111001010000
311010001011022021212020
4220010031131321100
51201101144442034
631432510331440
73052040422365
oct500415357120
9133034267766
1043020312144
1117276932287
1284074b9b80
134097a29304
14212178046c
1511bbc3e249
hexa0435de50

43020312144 has 80 divisors (see below), whose sum is σ = 112447802880. Its totient is φ = 14171470720.

The previous prime is 43020312133. The next prime is 43020312157. The reversal of 43020312144 is 44121302034.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 2141989 + ... + 2161979.

It is an arithmetic number, because the mean of its divisors is an integer number (1405597536).

Almost surely, 243020312144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43020312144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56223901440).

43020312144 is an abundant number, since it is smaller than the sum of its proper divisors (69427490736).

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

43020312144 is a wasteful number, since it uses less digits than its factorization.

43020312144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20528 (or 20522 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 43020312144 its reverse (44121302034), we get a palindrome (87141614178).

The spelling of 43020312144 in words is "forty-three billion, twenty million, three hundred twelve thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 419 428 642 838 856 1257 1284 1676 1712 2514 2568 3352 5028 5136 6704 10056 19991 20112 39982 44833 59973 79964 89666 119946 134499 159928 179332 239892 268998 319856 358664 479784 537996 717328 959568 1075992 2139037 2151984 4278074 6417111 8376229 8556148 12834222 16752458 17112296 25128687 25668444 33504916 34224592 50257374 51336888 67009832 100514748 102673776 134019664 201029496 402058992 896256503 1792513006 2688769509 3585026012 5377539018 7170052024 10755078036 14340104048 21510156072 43020312144