Search a number
-
+
153046734440 = 23511333859897
BaseRepresentation
bin1000111010001001001…
…0111101011001101000
3112122001002102122210212
42032202102331121220
510001414431000230
6154150402400252
714025432530645
oct2164222753150
9478032378725
10153046734440
11599a79898a6
12257b3060088
13115808478c2
14759c280dcc
153eab305895
hex23a24bd668

153046734440 has 32 divisors (see below), whose sum is σ = 347402553480. Its totient is φ = 60676933632.

The previous prime is 153046734431. The next prime is 153046734443. The reversal of 153046734440 is 44437640351.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 25479182884 + 127567551556 = 159622^2 + 357166^2 .

It is a super-2 number, since 2×1530467344402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (153046734443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16925429 + ... + 16934468.

Almost surely, 2153046734440 is an apocalyptic number.

153046734440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153046734440 is an abundant number, since it is smaller than the sum of its proper divisors (194355819040).

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

153046734440 is a wasteful number, since it uses less digits than its factorization.

153046734440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33860021 (or 33860017 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 41.

The spelling of 153046734440 in words is "one hundred fifty-three billion, forty-six million, seven hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 113 226 452 565 904 1130 2260 4520 33859897 67719794 135439588 169299485 270879176 338598970 677197940 1354395880 3826168361 7652336722 15304673444 19130841805 30609346888 38261683610 76523367220 153046734440