Search a number
-
+
133023002040240 = 24351342635577577
BaseRepresentation
bin11110001111101111010100…
…110010001001011110110000
3122102222212121201200021111020
4132033233110302021132300
5114413422102010241430
61150525531251015440
740006410666113424
oct3617572462113660
9572885551607436
10133023002040240
1139426813827214
1212b048ba29a580
13592c027709a90
1424bc4c1d54b84
15105a3783a1b10
hex78fbd4c897b0

133023002040240 has 80 divisors (see below), whose sum is σ = 444092176052448. Its totient is φ = 32744123578368.

The previous prime is 133023002040217. The next prime is 133023002040301. The reversal of 133023002040240 is 42040200320331.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 133023002040240.

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, 21317785669 + ... + 21317791908.

Almost surely, 2133023002040240 is an apocalyptic number.

133023002040240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133023002040240 is an abundant number, since it is smaller than the sum of its proper divisors (311069174012208).

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

133023002040240 is a wasteful number, since it uses less digits than its factorization.

133023002040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42635577606 (or 42635577600 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 133023002040240 its reverse (42040200320331), we get a palindrome (175063202360571).

The spelling of 133023002040240 in words is "one hundred thirty-three trillion, twenty-three billion, two million, forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 42635577577 85271155154 127906732731 170542310308 213177887885 255813465462 341084620616 426355775770 511626930924 554262508501 639533663655 682169241232 852711551540 1023253861848 1108525017002 1279067327310 1662787525503 1705423103080 2046507723696 2217050034004 2558134654620 2771312542505 3325575051006 3410846206160 4434100068008 5116269309240 5542625085010 6651150102012 8313937627515 8868200136016 10232538618480 11085250170020 13302300204024 16627875255030 22170500340040 26604600408048 33255750510060 44341000680080 66511501020120 133023002040240