Search a number
-
+
144343143200344 = 231117366072635727
BaseRepresentation
bin100000110100011110000001…
…110001101011011001011000
3200221002001212211101221001111
4200310132001301223121120
5122404404224124402334
61230554154034430104
742255306435261004
oct4064360161533130
9627061784357044
10144343143200344
1141aa0646356090
1214232802732334
13627066665c73a
14279036157b704
1511a4a6a56b064
hex834781c6b658

144343143200344 has 64 divisors (see below), whose sum is σ = 312623487221760. Its totient is φ = 61749367011840.

The previous prime is 144343143200329. The next prime is 144343143200351. The reversal of 144343143200344 is 443002341343441.

It is a junction number, because it is equal to n+sod(n) for n = 144343143200297 and 144343143200306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53446209 + ... + 56081935.

It is an arithmetic number, because the mean of its divisors is an integer number (4884741987840).

Almost surely, 2144343143200344 is an apocalyptic number.

It is an amenable number.

144343143200344 is an abundant number, since it is smaller than the sum of its proper divisors (168280344021416).

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

144343143200344 is a wasteful number, since it uses less digits than its factorization.

144343143200344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2672368 (or 2672364 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 40.

Adding to 144343143200344 its reverse (443002341343441), we get a palindrome (587345484543785).

The spelling of 144343143200344 in words is "one hundred forty-four trillion, three hundred forty-three billion, one hundred forty-three million, two hundred thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 374 748 1496 36607 73214 146428 292856 402677 622319 805354 1244638 1610708 2489276 2635727 3221416 4978552 5271454 6845509 10542908 13691018 21085816 27382036 28992997 44807359 54764072 57985994 89614718 115971988 179229436 231943976 358458872 492880949 985761898 1971523796 3943047592 96486058289 192972116578 385944233156 771888466312 1061346641179 1640262990913 2122693282358 3280525981826 4245386564716 6561051963652 8490773129432 13122103927304 18042892900043 36085785800086 72171571600172 144343143200344