Search a number
-
+
1417401435440 = 24543412035301
BaseRepresentation
bin10100101000000011101…
…101011000010100110000
312000111120010212022021202
4110220003231120110300
5141210314231413230
63003051211510332
7204255346261664
oct24500355302460
95014503768252
101417401435440
114a71311822a1
121aa850a583a8
13a3877b22033
144c8617448a4
1526d0abd0a45
hex14a03b58530

1417401435440 has 40 divisors (see below), whose sum is σ = 3372096911568. Its totient is φ = 553775443200.

The previous prime is 1417401435371. The next prime is 1417401435467. The reversal of 1417401435440 is 445341047141.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1417401435394 and 1417401435403.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206014211 + ... + 206021090.

Almost surely, 21417401435440 is an apocalyptic number.

1417401435440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1417401435440 is an abundant number, since it is smaller than the sum of its proper divisors (1954695476128).

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

1417401435440 is a wasteful number, since it uses less digits than its factorization.

1417401435440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412035357 (or 412035351 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 38.

The spelling of 1417401435440 in words is "one trillion, four hundred seventeen billion, four hundred one million, four hundred thirty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 3440 412035301 824070602 1648141204 2060176505 3296282408 4120353010 6592564816 8240706020 16481412040 17717517943 32962824080 35435035886 70870071772 88587589715 141740143544 177175179430 283480287088 354350358860 708700717720 1417401435440