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440421100142144 = 26114713310599013
BaseRepresentation
bin110010000100011111000011…
…1001110011011111001000000
32010202101211211201101210000012
41210020332013032123321000
5430211324403114022034
64200410354340444052
7161524242301111442
oct14410760716337100
92122354751353005
10440421100142144
111183715a3304170
12414906873a9628
1315b996baa2ba54
147aa86d0346492
1535db56bd72cce
hex1908f8739be40

440421100142144 has 56 divisors (see below), whose sum is σ = 973696939072128. Its totient is φ = 195932017456640.

The previous prime is 440421100142131. The next prime is 440421100142147. The reversal of 440421100142144 is 441241001124044.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 440421100142144.

It is not an unprimeable number, because it can be changed into a prime (440421100142147) 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 7 ways as a sum of consecutive naturals, for example, 6655266419 + ... + 6655332594.

Almost surely, 2440421100142144 is an apocalyptic number.

440421100142144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

440421100142144 is an abundant number, since it is smaller than the sum of its proper divisors (533275838929984).

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

440421100142144 is a wasteful number, since it uses less digits than its factorization.

440421100142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13310599083 (or 13310599073 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

Adding to 440421100142144 its reverse (441241001124044), we get a palindrome (881662101266188).

The spelling of 440421100142144 in words is "four hundred forty trillion, four hundred twenty-one billion, one hundred million, one hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 176 188 352 376 517 704 752 1034 1504 2068 3008 4136 8272 16544 33088 13310599013 26621198026 53242396052 106484792104 146416589143 212969584208 292833178286 425939168416 585666356572 625598153611 851878336832 1171332713144 1251196307222 2342665426288 2502392614444 4685330852576 5004785228888 6881579689721 9370661705152 10009570457776 13763159379442 20019140915552 27526318758884 40038281831104 55052637517768 110105275035536 220210550071072 440421100142144