Search a number
-
+
1410405432240 = 24357839527043
BaseRepresentation
bin10100100001100010101…
…101101111101110110000
311222211111120122112002010
4110201202231233232300
5141102002242312430
62555533055122520
7203620106240130
oct24414255575660
94884446575063
101410405432240
114a4171108572
121a9419b13440
13a30015b837c
144c39a548ac0
1526a4b905cb0
hex14862b6fbb0

1410405432240 has 80 divisors (see below), whose sum is σ = 4996864965888. Its totient is φ = 322378384128.

The previous prime is 1410405432217. The next prime is 1410405432277. The reversal of 1410405432240 is 422345040141.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 1410405432198 and 1410405432207.

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, 419761842 + ... + 419765201.

Almost surely, 21410405432240 is an apocalyptic number.

1410405432240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1410405432240 is an abundant number, since it is smaller than the sum of its proper divisors (3586459533648).

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

1410405432240 is a wasteful number, since it uses less digits than its factorization.

1410405432240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839527066 (or 839527060 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 1410405432240 in words is "one trillion, four hundred ten billion, four hundred five million, four hundred thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 839527043 1679054086 2518581129 3358108172 4197635215 5037162258 5876689301 6716216344 8395270430 10074324516 11753378602 12592905645 13432432688 16790540860 17630067903 20148649032 23506757204 25185811290 29383446505 33581081720 35260135806 40297298064 47013514408 50371622580 58766893010 67162163440 70520271612 88150339515 94027028816 100743245160 117533786020 141040543224 176300679030 201486490320 235067572040 282081086448 352601358060 470135144080 705202716120 1410405432240