Search a number
-
+
141970383360 = 29325132192101
BaseRepresentation
bin1000010000111000011…
…0000010001000000000
3111120110011022201120200
42010032012002020000
54311223404231420
6145115330005200
713154105230131
oct2041606021000
9446404281520
10141970383360
1155233642343
1223621716800
1310506b69a00
146c2b1b7c88
153a5dbd3b90
hex210e182200

141970383360 has 1080 divisors, whose sum is σ = 567474660324. Its totient is φ = 32779468800.

The previous prime is 141970383343. The next prime is 141970383407. The reversal of 141970383360 is 63383079141.

141970383360 is a `hidden beast` number, since 141 + 9 + 70 + 3 + 83 + 360 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 47510049024 + 94460334336 = 217968^2 + 307344^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 1405647310 + ... + 1405647410.

Almost surely, 2141970383360 is an apocalyptic number.

141970383360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141970383360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283737330162).

141970383360 is an abundant number, since it is smaller than the sum of its proper divisors (425504276964).

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

141970383360 is a wasteful number, since it uses less digits than its factorization.

141970383360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 141970383360 in words is "one hundred forty-one billion, nine hundred seventy million, three hundred eighty-three thousand, three hundred sixty".