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144032466554144 = 2572364381434237
BaseRepresentation
bin100000101111111100101100…
…000000010100110100100000
3200212222100222020111002002122
4200233330230000110310200
5122334311442414213034
61230155333544003412
742224000535330050
oct4057745400246440
9625870866432078
10144032466554144
114199090a4a6543
12141a2559760568
13624a2848c00cc
14277d2cc49b560
15119b9358e162e
hex82ff2c014d20

144032466554144 has 96 divisors (see below), whose sum is σ = 338169213639936. Its totient is φ = 59043312092160.

The previous prime is 144032466554143. The next prime is 144032466554147. The reversal of 144032466554144 is 441455664230441.

It is not an unprimeable number, because it can be changed into a prime (144032466554143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 331473794 + ... + 331908030.

It is an arithmetic number, because the mean of its divisors is an integer number (3522595975416).

Almost surely, 2144032466554144 is an apocalyptic number.

144032466554144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144032466554144 is an abundant number, since it is smaller than the sum of its proper divisors (194136747085792).

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

144032466554144 is a wasteful number, since it uses less digits than its factorization.

144032466554144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498658 (or 498650 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 53.

The spelling of 144032466554144 in words is "one hundred forty-four trillion, thirty-two billion, four hundred sixty-six million, five hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 92 112 161 184 224 322 368 644 736 1288 2576 5152 64381 128762 257524 434237 450667 515048 868474 901334 1030096 1480763 1736948 1802668 2060192 2961526 3039659 3473896 3605336 5923052 6079318 6947792 7210672 9987451 10365341 11846104 12158636 13895584 14421344 19974902 20730682 23692208 24317272 39949804 41461364 47384416 48634544 69912157 79899608 82922728 97269088 139824314 159799216 165845456 279648628 319598432 331690912 559297256 1118594512 2237189024 27956612297 55913224594 111826449188 195696286079 223652898376 391392572158 447305796752 643002082831 782785144316 894611593504 1286004165662 1565570288632 2572008331324 3131140577264 4501014579817 5144016662648 6262281154528 9002029159634 10288033325296 18004058319268 20576066650592 36008116638536 72016233277072 144032466554144