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144441060540 = 223571088931583
BaseRepresentation
bin1000011010000101011…
…0111010110010111100
3111210211100100010111220
42012201112322302330
54331303402414130
6150204425113340
713302245520450
oct2064126726274
9453740303456
10144441060540
1156291238707
1223bb1028850
131080b9a047a
146dc3394660
153b55a6b410
hex21a15bacbc

144441060540 has 96 divisors (see below), whose sum is σ = 462268477440. Its totient is φ = 33011022336.

The previous prime is 144441060509. The next prime is 144441060629. The reversal of 144441060540 is 45060144441.

144441060540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4557589 + ... + 4589171.

It is an arithmetic number, because the mean of its divisors is an integer number (4815296640).

Almost surely, 2144441060540 is an apocalyptic number.

144441060540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144441060540 is an abundant number, since it is smaller than the sum of its proper divisors (317827416900).

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

144441060540 is a wasteful number, since it uses less digits than its factorization.

144441060540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42491 (or 42489 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 144441060540 in words is "one hundred forty-four billion, four hundred forty-one million, sixty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 10889 21778 31583 32667 43556 54445 63166 65334 76223 94749 108890 126332 130668 152446 157915 163335 189498 217780 221081 228669 304892 315830 326670 378996 381115 442162 457338 473745 631660 653340 663243 762230 884324 914676 947490 1105405 1143345 1326486 1524460 1894980 2210810 2286690 2652972 3316215 4421620 4573380 6632430 13264860 343907287 687814574 1031721861 1375629148 1719536435 2063443722 2407351009 3439072870 4126887444 4814702018 5158609305 6878145740 7222053027 9629404036 10317218610 12036755045 14444106054 20634437220 24073510090 28888212108 36110265135 48147020180 72220530270 144441060540