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2240132435145 = 3251117228355333
BaseRepresentation
bin100000100110010010010…
…011000100110011001001
321221011011200101110211100
4200212102103010303021
5243200242400411040
64433034100252013
7320562366345123
oct40462223046311
97834150343740
102240132435145
117940423a5560
1230219b9a1009
131333221c4a97
147a5cc974213
153d40e898b30
hex209924c4cc9

2240132435145 has 144 divisors (see below), whose sum is σ = 4515695301312. Its totient is φ = 1018604574720.

The previous prime is 2240132435119. The next prime is 2240132435197. The reversal of 2240132435145 is 5415342310422.

It is a happy number.

2240132435145 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 132 + 4 + 3 + 514 + 5 = 666.

It is not a de Polignac number, because 2240132435145 - 212 = 2240132431049 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 40456899 + ... + 40512231.

It is an arithmetic number, because the mean of its divisors is an integer number (31358995148).

Almost surely, 22240132435145 is an apocalyptic number.

It is an amenable number.

2240132435145 is an abundant number, since it is smaller than the sum of its proper divisors (2275562866167).

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

2240132435145 is a wasteful number, since it uses less digits than its factorization.

2240132435145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55672 (or 55652 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 2240132435145 its reverse (5415342310422), we get a palindrome (7655474745567).

The spelling of 2240132435145 in words is "two trillion, two hundred forty billion, one hundred thirty-two million, four hundred thirty-five thousand, one hundred forty-five".

Divisors: 1 3 5 9 11 15 17 33 45 51 55 85 99 153 165 187 255 283 289 495 561 765 849 867 935 1415 1445 1683 2547 2601 2805 3113 3179 4245 4335 4811 8415 9339 9537 12735 13005 14433 15565 15895 24055 28017 28611 43299 46695 47685 52921 55333 72165 81787 140085 143055 158763 165999 216495 245361 264605 276665 408935 476289 497997 608663 736083 793815 829995 899657 940661 1226805 1825989 2381445 2489985 2698971 2821983 3043315 3680415 4498285 4703305 5477967 8096913 8465949 9129945 10347271 13494855 14109915 15659239 15991237 27389835 31041813 40484565 42329745 46977717 47973711 51736355 78296195 79956185 93125439 140933151 143921133 155209065 172251629 175903607 234888585 239868555 266207063 465627195 516754887 527710821 704665755 719605665 798621189 861258145 879518035 1331035315 1550264661 1583132463 2395863567 2583774435 2638554105 2928277693 3993105945 4525520071 7751323305 7915662315 8784833079 11979317835 13576560213 14641388465 22627600355 26354499237 40729680639 43924165395 49780720781 67882801065 131772496185 149342162343 203648403195 248903603905 448026487029 746710811715 2240132435145