Search a number
-
+
45742017100340 = 22511222479345901
BaseRepresentation
bin10100110011010001001001…
…01011100011101000110100
312222221220010211010101110002
422121220210223203220310
521443414122334202330
6241141331554250432
712430515553066211
oct1231504453435064
9188856124111402
1045742017100340
1113636098185640
125169138b86a18
131c6a5b8a31bc2
14b41cd55a0b08
15544cc511be45
hex299a24ae3a34

45742017100340 has 48 divisors (see below), whose sum is σ = 104795524358784. Its totient is φ = 16632711312000.

The previous prime is 45742017100331. The next prime is 45742017100357. The reversal of 45742017100340 is 4300171024754.

It is a junction number, because it is equal to n+sod(n) for n = 45742017100294 and 45742017100303.

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, 221390 + ... + 9567290.

It is an arithmetic number, because the mean of its divisors is an integer number (2183240090808).

Almost surely, 245742017100340 is an apocalyptic number.

It is an amenable number.

45742017100340 is an abundant number, since it is smaller than the sum of its proper divisors (59053507258444).

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

45742017100340 is a wasteful number, since it uses less digits than its factorization.

45742017100340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9368168 (or 9368166 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The spelling of 45742017100340 in words is "forty-five trillion, seven hundred forty-two billion, seventeen million, one hundred thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 22247 44494 88988 111235 222470 244717 444940 489434 978868 1223585 2447170 4894340 9345901 18691802 37383604 46729505 93459010 102804911 186918020 205609822 411219644 514024555 1028049110 2056098220 207918259547 415836519094 831673038188 1039591297735 2079182595470 2287100855017 4158365190940 4574201710034 9148403420068 11435504275085 22871008550170 45742017100340