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1042231377888 = 253644677271
BaseRepresentation
bin11110010101010011101…
…01001011111111100000
310200122011220012201000000
433022221311023333200
5114033442213043023
62114443335300000
7135204315353511
oct17125165137740
93618156181000
101042231377888
1137200a495198
12149ba921a600
137738871793c
14386310dca08
151c19e0b7243
hexf2a9d4bfe0

1042231377888 has 84 divisors (see below), whose sum is σ = 3076432272648. Its totient is φ = 347410451520.

The previous prime is 1042231377881. The next prime is 1042231377991. The reversal of 1042231377888 is 8887731322401.

1042231377888 is a `hidden beast` number, since 1 + 0 + 422 + 3 + 137 + 7 + 8 + 88 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042231377881) 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 13 ways as a sum of consecutive naturals, for example, 22315308 + ... + 22361963.

It is an arithmetic number, because the mean of its divisors is an integer number (36624193722).

Almost surely, 21042231377888 is an apocalyptic number.

1042231377888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1042231377888 is an abundant number, since it is smaller than the sum of its proper divisors (2034200894760).

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

1042231377888 is an frugal number, since it uses more digits than its factorization.

1042231377888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44677299 (or 44677276 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 1042231377888 in words is "one trillion, forty-two billion, two hundred thirty-one million, three hundred seventy-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 23328 44677271 89354542 134031813 178709084 268063626 357418168 402095439 536127252 714836336 804190878 1072254504 1206286317 1429672672 1608381756 2144509008 2412572634 3216763512 3618858951 4289018016 4825145268 6433527024 7237717902 9650290536 10856576853 12867054048 14475435804 19300581072 21713153706 28950871608 32569730559 38601162144 43426307412 57901743216 65139461118 86852614824 115803486432 130278922236 173705229648 260557844472 347410459296 521115688944 1042231377888