Search a number
-
+
1335225345144 = 233137143405667
BaseRepresentation
bin10011011011100001101…
…000011110010001111000
311201122110011001101120220
4103123201220132101320
5133334020142021034
62501221041020040
7165316062112545
oct23334150362170
94648404041526
101335225345144
114752a1997389
12196938324620
1398bacc0a732
14488a7993bcc
1524aeb669749
hex136e1a1e478

1335225345144 has 32 divisors (see below), whose sum is σ = 3338095931520. Its totient is φ = 445070772576.

The previous prime is 1335225345143. The next prime is 1335225345163. The reversal of 1335225345144 is 4415435225331.

It is a junction number, because it is equal to n+sod(n) for n = 1335225345096 and 1335225345105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1335225345143) 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, 3088599 + ... + 3494265.

It is an arithmetic number, because the mean of its divisors is an integer number (104315497860).

Almost surely, 21335225345144 is an apocalyptic number.

It is an amenable number.

1335225345144 is an abundant number, since it is smaller than the sum of its proper divisors (2002870586376).

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

1335225345144 is a wasteful number, since it uses less digits than its factorization.

1335225345144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542819 (or 542815 counting only the distinct ones).

The product of its digits is 864000, while the sum is 42.

The spelling of 1335225345144 in words is "one trillion, three hundred thirty-five billion, two hundred twenty-five million, three hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 137143 274286 405667 411429 548572 811334 822858 1097144 1217001 1622668 1645716 2434002 3245336 3291432 4868004 9736008 55634389381 111268778762 166903168143 222537557524 333806336286 445075115048 667612672572 1335225345144