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144410131388658 = 231931389105046483
BaseRepresentation
bin100000110101011100011010…
…100101010101100011110010
3200221022110210100111111000010
4200311130122211111203302
5122412003422113414113
61231045033140035350
742263200451421402
oct4065343245254362
9627273710444003
10144410131388658
1142016aa144a493
1214243798992b56
136276a80b184a5
1427936b8194802
1511a668b5531c3
hex83571a9558f2

144410131388658 has 64 divisors (see below), whose sum is σ = 314635228876800. Its totient is φ = 44018677817280.

The previous prime is 144410131388623. The next prime is 144410131388681. The reversal of 144410131388658 is 856883131014441.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 144410131388598 and 144410131388607.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 51148516 + ... + 53897967.

It is an arithmetic number, because the mean of its divisors is an integer number (4916175451200).

Almost surely, 2144410131388658 is an apocalyptic number.

144410131388658 is an abundant number, since it is smaller than the sum of its proper divisors (170225097488142).

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

144410131388658 is a wasteful number, since it uses less digits than its factorization.

144410131388658 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105046927.

The product of its (nonzero) digits is 8847360, while the sum is 57.

The spelling of 144410131388658 in words is "one hundred forty-four trillion, four hundred ten billion, one hundred thirty-one million, three hundred eighty-eight thousand, six hundred fifty-eight".

Divisors: 1 2 3 6 19 31 38 57 62 93 114 186 389 589 778 1167 1178 1767 2334 3534 7391 12059 14782 22173 24118 36177 44346 72354 229121 458242 687363 1374726 105046483 210092966 315139449 630278898 1995883177 3256440973 3991766354 5987649531 6512881946 9769322919 11975299062 19538645838 40863081887 61872378487 81726163774 122589245661 123744756974 185617135461 245178491322 371234270922 776398555853 1266755538497 1552797111706 2329195667559 2533511076994 3800266615491 4658391335118 7600533230982 24068355231443 48136710462886 72205065694329 144410131388658