Search a number
-
+
153642801234 = 23135337165651
BaseRepresentation
bin1000111100010111010…
…0110001100001010010
3112200120122000222201210
42033011310301201102
510004130024114414
6154325454240550
714046261156006
oct2170564614122
9480518028653
10153642801234
115a1833a068a
122593a7b6156
1311647197150
1476174c2706
153ee37e7e59
hex23c5d31852

153642801234 has 32 divisors (see below), whose sum is σ = 337166794944. Its totient is φ = 46382731200.

The previous prime is 153642801223. The next prime is 153642801253. The reversal of 153642801234 is 432108246351.

It is a super-2 number, since 2×1536428012342 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 153642801192 and 153642801201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18578692 + ... + 18586959.

It is an arithmetic number, because the mean of its divisors is an integer number (10536462342).

Almost surely, 2153642801234 is an apocalyptic number.

153642801234 is an abundant number, since it is smaller than the sum of its proper divisors (183523993710).

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

153642801234 is a wasteful number, since it uses less digits than its factorization.

153642801234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37165722.

The product of its (nonzero) digits is 138240, while the sum is 39.

The spelling of 153642801234 in words is "one hundred fifty-three billion, six hundred forty-two million, eight hundred one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 53 78 106 159 318 689 1378 2067 4134 37165651 74331302 111496953 222993906 483153463 966306926 1449460389 1969779503 2898920778 3939559006 5909338509 11818677018 25607133539 51214267078 76821400617 153642801234