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1023444400144 = 241597275314549
BaseRepresentation
bin11101110010010100000…
…10100011100000010000
310121211200121012100110111
432321022002203200100
5113232003231301034
62102055221211104
7133640622602605
oct16711202434020
93554617170414
101023444400144
11365049756801
12146425560a94
137568344386a
143776bd766ac
151b94eaaa364
hexee4a0a3810

1023444400144 has 40 divisors (see below), whose sum is σ = 1985022336600. Its totient is φ = 511180873728.

The previous prime is 1023444400129. The next prime is 1023444400151. The reversal of 1023444400144 is 4410044443201.

It can be written as a sum of positive squares in 4 ways, for example, as 399565580544 + 623878819600 = 632112^2 + 789860^2 .

It is a super-2 number, since 2×10234444001442 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70337382 + ... + 70351930.

It is an arithmetic number, because the mean of its divisors is an integer number (49625558415).

Almost surely, 21023444400144 is an apocalyptic number.

It is an amenable number.

1023444400144 is a deficient number, since it is larger than the sum of its proper divisors (961577936456).

1023444400144 is a wasteful number, since it uses less digits than its factorization.

1023444400144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18907 (or 18901 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 1023444400144 its reverse (4410044443201), we get a palindrome (5433488843345).

The spelling of 1023444400144 in words is "one trillion, twenty-three billion, four hundred forty-four million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 1597 2753 3194 5506 6388 11012 12776 14549 22024 25552 29098 44048 58196 116392 232784 4396541 8793082 17586164 23234753 35172328 40053397 46469506 70344656 80106794 92939012 160213588 185878024 320427176 371756048 640854352 63965275009 127930550018 255861100036 511722200072 1023444400144