Search a number
-
+
42370773444072 = 2333297251659917
BaseRepresentation
bin10011010001001001101101…
…11001100110010111101000
312120000121101001102100201000
421220210312321212113220
521023200321000202242
6230040510430555000
711632121156604663
oct1150446671462750
9176017331370630
1042370773444072
11125563870071a7
1249038a6368a60
131a847153ba798
14a66a836d86da
154d7263847a4c
hex268936e665e8

42370773444072 has 64 divisors (see below), whose sum is σ = 117697167201600. Its totient is φ = 14123522232000.

The previous prime is 42370773444071. The next prime is 42370773444133. The reversal of 42370773444072 is 27044437707324.

42370773444072 is a `hidden beast` number, since 4 + 2 + 37 + 0 + 77 + 34 + 440 + 72 = 666.

42370773444072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (42370773444071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63876258 + ... + 64536174.

It is an arithmetic number, because the mean of its divisors is an integer number (1839018237525).

Almost surely, 242370773444072 is an apocalyptic number.

It is an amenable number.

42370773444072 is an abundant number, since it is smaller than the sum of its proper divisors (75326393757528).

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

42370773444072 is a wasteful number, since it uses less digits than its factorization.

42370773444072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957183 (or 957173 counting only the distinct ones).

The product of its (nonzero) digits is 22127616, while the sum is 54.

The spelling of 42370773444072 in words is "forty-two trillion, three hundred seventy billion, seven hundred seventy-three million, four hundred forty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 297251 594502 659917 891753 1189004 1319834 1783506 1979751 2378008 2639668 2675259 3567012 3959502 5279336 5350518 5939253 7134024 7919004 8025777 10701036 11878506 15838008 16051554 17817759 21402072 23757012 32103108 35635518 47514024 64206216 71271036 142542072 196160988167 392321976334 588482964501 784643952668 1176965929002 1569287905336 1765448893503 2353931858004 3530897787006 4707863716008 5296346680509 7061795574012 10592693361018 14123591148024 21185386722036 42370773444072