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144143104024240 = 24511347353336727
BaseRepresentation
bin100000110001100011101110…
…100000110001111010110000
3200220100221112202101220001021
4200301203232200301322300
5122343120034112233430
61230322232224545224
742234665330316646
oct4061435640617260
9626327482356037
10144143104024240
1141a23824467342
12141bba95a82214
1362578371a4a49
1427847c61bd196
15119e75d95907a
hex8318ee831eb0

144143104024240 has 80 divisors (see below), whose sum is σ = 338106637165248. Its totient is φ = 57145623994368.

The previous prime is 144143104024219. The next prime is 144143104024259. The reversal of 144143104024240 is 42420401341441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 144143104024196 and 144143104024205.

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, 427902757 + ... + 428239483.

Almost surely, 2144143104024240 is an apocalyptic number.

144143104024240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144143104024240 is an abundant number, since it is smaller than the sum of its proper divisors (193963533141008).

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

144143104024240 is a wasteful number, since it uses less digits than its factorization.

144143104024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384206 (or 384200 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 144143104024240 its reverse (42420401341441), we get a palindrome (186563505365681).

The spelling of 144143104024240 in words is "one hundred forty-four trillion, one hundred forty-three billion, one hundred four million, twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 4520 9040 47353 94706 189412 236765 336727 378824 473530 673454 757648 947060 1346908 1683635 1894120 2693816 3367270 3788240 5350889 5387632 6734540 10701778 13469080 21403556 26754445 26938160 38050151 42807112 53508890 76100302 85614224 107017780 152200604 190250755 214035560 304401208 380501510 428071120 608802416 761003020 1522006040 3044012080 15945033631 31890067262 63780134524 79725168155 127560269048 159450336310 255120538096 318900672620 637801345240 1275602690480 1801788800303 3603577600606 7207155201212 9008944001515 14414310402424 18017888003030 28828620804848 36035776006060 72071552012120 144143104024240