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144756445820 = 225722941124231
BaseRepresentation
bin1000011011010000101…
…0000001001001111100
3111211122022210100210012
42012310022001021330
54332430122231240
6150300013002352
713313125326200
oct2066412011174
9454568710705
10144756445820
11564332702a8
122407a7833b8
131085c12708c
147013210b00
153b735b8b65
hex21b428127c

144756445820 has 144 divisors (see below), whose sum is σ = 374738374080. Its totient is φ = 46750233600.

The previous prime is 144756445817. The next prime is 144756445853. The reversal of 144756445820 is 28544657441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1103105 + ... + 1227335.

It is an arithmetic number, because the mean of its divisors is an integer number (2602349820).

Almost surely, 2144756445820 is an apocalyptic number.

144756445820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144756445820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187369187040).

144756445820 is an abundant number, since it is smaller than the sum of its proper divisors (229981928260).

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

144756445820 is a wasteful number, since it uses less digits than its factorization.

144756445820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124324 (or 124315 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 50.

The spelling of 144756445820 in words is "one hundred forty-four billion, seven hundred fifty-six million, four hundred forty-five thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 41 49 58 70 82 98 116 140 145 164 196 203 205 245 287 290 406 410 490 574 580 812 820 980 1015 1148 1189 1421 1435 2009 2030 2378 2842 2870 4018 4060 4756 5684 5740 5945 7105 8036 8323 10045 11890 14210 16646 20090 23780 28420 33292 40180 41615 58261 83230 116522 124231 166460 233044 248462 291305 496924 582610 621155 869617 1165220 1242310 1739234 2484620 3478468 3602699 4348085 5093471 6087319 7205398 8696170 10186942 12174638 14410796 17392340 18013495 20373884 24349276 25218893 25467355 30436595 35654297 36026990 50437786 50934710 60873190 71308594 72053980 100875572 101869420 121746380 126094465 142617188 147710659 176532251 178271485 249580079 252188930 295421318 353064502 356542970 499160158 504377860 590842636 706129004 713085940 738553295 882661255 998320316 1033974613 1247900395 1477106590 1765322510 2067949226 2495800790 2954213180 3530645020 4135898452 4991601580 5169873065 7237822291 10339746130 14475644582 20679492260 28951289164 36189111455 72378222910 144756445820