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540065361100144 = 241123211016322703
BaseRepresentation
bin111101011001011111100010…
…0000000001111110101110000
32121211012202002120221120022211
41322302333010000033311300
51031241412324420201034
65152342333553141504
7221520302052301615
oct17262770400176560
92554182076846284
10540065361100144
11147099484958880
12506a435085a894
131a246c392b8929
14975143540650c
154268515851d64
hex1eb2fc400fd70

540065361100144 has 80 divisors (see below), whose sum is σ = 1191188935885824. Its totient is φ = 234799861472000.

The previous prime is 540065361100103. The next prime is 540065361100159. The reversal of 540065361100144 is 441001163560045.

It is a junction number, because it is equal to n+sod(n) for n = 540065361100097 and 540065361100106.

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, 82255497 + ... + 88578199.

Almost surely, 2540065361100144 is an apocalyptic number.

It is an amenable number.

540065361100144 is an abundant number, since it is smaller than the sum of its proper divisors (651123574785680).

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

540065361100144 is a wasteful number, since it uses less digits than its factorization.

540065361100144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6343846 (or 6343840 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The spelling of 540065361100144 in words is "five hundred forty trillion, sixty-five billion, three hundred sixty-one million, one hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 44 46 88 92 176 184 253 368 506 1012 2024 4048 21101 42202 84404 168808 232111 337616 464222 485323 928444 970646 1856888 1941292 3713776 3882584 5338553 6322703 7765168 10677106 12645406 21354212 25290812 42708424 50581624 69549733 85416848 101163248 139099466 145422169 278198932 290844338 556397864 581688676 1112795728 1163377352 1599643859 2326754704 3199287718 6398575436 12797150872 25594301744 133415356003 266830712006 533661424012 1067322848024 1467568916033 2134645696048 2935137832066 3068553188069 5870275664132 6137106376138 11740551328264 12274212752276 23481102656528 24548425504552 33754085068759 49096851009104 67508170137518 135016340275036 270032680550072 540065361100144