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135420000252435 = 3353133204827837
BaseRepresentation
bin11110110010100111101101…
…000000101011001000010011
3122202111000200122200212201000
4132302213231000223020103
5120222210130031034220
61200003031141313043
740344525563542533
oct3662475500531023
9582430618625630
10135420000252435
113a170332828828
1213231378105783
135a74088720282
1425625120574c3
15109c8b947e390
hex7b29ed02b213

135420000252435 has 32 divisors (see below), whose sum is σ = 241515825871680. Its totient is φ = 71993252507904.

The previous prime is 135420000252431. The next prime is 135420000252437. The reversal of 135420000252435 is 534252000024531.

135420000252435 is a `hidden beast` number, since 1 + 354 + 20 + 0 + 0 + 0 + 252 + 4 + 35 = 666.

It is not a de Polignac number, because 135420000252435 - 22 = 135420000252431 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135420000252435.

It is not an unprimeable number, because it can be changed into a prime (135420000252431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1602371664 + ... + 1602456173.

It is an arithmetic number, because the mean of its divisors is an integer number (7547369558490).

Almost surely, 2135420000252435 is an apocalyptic number.

135420000252435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135420000252435 is a deficient number, since it is larger than the sum of its proper divisors (106095825619245).

135420000252435 is a wasteful number, since it uses less digits than its factorization.

135420000252435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3204828164 (or 3204828158 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 135420000252435 its reverse (534252000024531), we get a palindrome (669672000276966).

The spelling of 135420000252435 in words is "one hundred thirty-five trillion, four hundred twenty billion, two hundred fifty-two thousand, four hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 313 939 1565 2817 4695 8451 14085 42255 3204827837 9614483511 16024139185 28843450533 48072417555 86530351599 144217252665 432651757995 1003111112981 3009333338943 5015555564905 9028000016829 15046666694715 27084000050487 45140000084145 135420000252435