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2023043310144 = 26323512227969
BaseRepresentation
bin11101011100000110110…
…001110010001001000000
321011101211100220021220100
4131130012301302021000
5231121143041411034
64145212343042400
7266105620260213
oct35340661621100
97141740807810
102023043310144
1170aa7123185a
122880b5140400
13118a065a892c
146dcb701377a
1537955ee5099
hex1d706c72240

2023043310144 has 42 divisors (see below), whose sum is σ = 5798688378470. Its totient is φ = 674347769856.

The previous prime is 2023043310143. The next prime is 2023043310149. The reversal of 2023043310144 is 4410133403202.

2023043310144 is a `hidden beast` number, since 2 + 0 + 2 + 304 + 3 + 310 + 1 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1988776857600 + 34266452544 = 1410240^2 + 185112^2 .

It is not an unprimeable number, because it can be changed into a prime (2023043310143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1756113409 + ... + 1756114560.

Almost surely, 22023043310144 is an apocalyptic number.

2023043310144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2023043310144 is an abundant number, since it is smaller than the sum of its proper divisors (3775645068326).

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

2023043310144 is a wasteful number, since it uses less digits than its factorization.

2023043310144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3512227987 (or 3512227974 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 2023043310144 its reverse (4410133403202), we get a palindrome (6433176713346).

The spelling of 2023043310144 in words is "two trillion, twenty-three billion, forty-three million, three hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3512227969 7024455938 10536683907 14048911876 21073367814 28097823752 31610051721 42146735628 56195647504 63220103442 84293471256 112391295008 126440206884 168586942512 224782590016 252880413768 337173885024 505760827536 674347770048 1011521655072 2023043310144