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540315050140040 = 23572414929664381
BaseRepresentation
bin111101011011010011110011…
…0101000010110000110001000
32121212002121120211221000101012
41322312213212220112012020
51031310010210313440130
65153053150215543052
7221544321431153300
oct17266474650260610
92555077524830335
10540315050140040
111471853649020aa
125072481508aa88
131a26464bb10156
14975d5607d0600
15426ec7b1e4995
hex1eb69e6a16188

540315050140040 has 96 divisors (see below), whose sum is σ = 1414197479323800. Its totient is φ = 185250149038080.

The previous prime is 540315050140009. The next prime is 540315050140051. The reversal of 540315050140040 is 40041050513045.

It can be written as a sum of positive squares in 4 ways, for example, as 535319565876676 + 4995484263364 = 23136974^2 + 2235058^2 .

It is a super-2 number, since 2×5403150501400402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 540315050139979 and 540315050140006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 812928650 + ... + 813593030.

Almost surely, 2540315050140040 is an apocalyptic number.

It is an amenable number.

540315050140040 is an abundant number, since it is smaller than the sum of its proper divisors (873882429183760).

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

540315050140040 is a wasteful number, since it uses less digits than its factorization.

540315050140040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079335 (or 1079324 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

The spelling of 540315050140040 in words is "five hundred forty trillion, three hundred fifteen billion, fifty million, one hundred forty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 414929 664381 829858 1328762 1659716 2074645 2657524 2904503 3319432 3321905 4149290 4650667 5315048 5809006 6643810 8298580 9301334 11618012 13287620 14522515 16597160 18602668 20331521 23236024 23253335 26575240 29045030 32554669 37205336 40663042 46506670 58090060 65109338 81326084 93013340 101657605 116180120 130218676 162652168 162773345 186026680 203315210 260437352 325546690 406630420 651093380 813260840 1302186760 275670943949 551341887898 1102683775796 1378354719745 1929696607643 2205367551592 2756709439490 3859393215286 5513418878980 7718786430572 9648483038215 11026837757960 13507876253501 15437572861144 19296966076430 27015752507002 38593932152860 54031505014004 67539381267505 77187864305720 108063010028008 135078762535010 270157525070020 540315050140040