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45235330013040 = 2435448514202371
BaseRepresentation
bin10100100100100001010111…
…10001101101011101110000
312221011110021220222102221120
422102100223301231131300
521412113423440404130
6240112453531422240
712346100434650306
oct1222205361553560
9187143256872846
1045235330013040
1113460217567512
1250a6ab05b4980
131c3189a37a54b
14b2558a1d6276
15536a1c3ce910
hex29242bc6d770

45235330013040 has 80 divisors (see below), whose sum is σ = 140232682974336. Its totient is φ = 12062482848000.

The previous prime is 45235330013011. The next prime is 45235330013051. The reversal of 45235330013040 is 4031003353254.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 45235330012992 and 45235330013010.

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, 8663055 + ... + 12865425.

Almost surely, 245235330013040 is an apocalyptic number.

45235330013040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45235330013040 is an abundant number, since it is smaller than the sum of its proper divisors (94997352961296).

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

45235330013040 is a wasteful number, since it uses less digits than its factorization.

45235330013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4247238 (or 4247232 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 33.

Adding to 45235330013040 its reverse (4031003353254), we get a palindrome (49266333366294).

The spelling of 45235330013040 in words is "forty-five trillion, two hundred thirty-five billion, three hundred thirty million, thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 44851 89702 134553 179404 224255 269106 358808 448510 538212 672765 717616 897020 1076424 1345530 1794040 2152848 2691060 3588080 4202371 5382120 8404742 10764240 12607113 16809484 21011855 25214226 33618968 42023710 50428452 63035565 67237936 84047420 100856904 126071130 168094840 201713808 252142260 336189680 504284520 1008569040 188480541721 376961083442 565441625163 753922166884 942402708605 1130883250326 1507844333768 1884805417210 2261766500652 2827208125815 3015688667536 3769610834420 4523533001304 5654416251630 7539221668840 9047066002608 11308832503260 15078443337680 22617665006520 45235330013040