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13140011121444 = 2234101513995231
BaseRepresentation
bin1011111100110110010110…
…1100011111101100100100
31201112011122222010102210000
42333031211230133230210
53210241220321341234
643540234320501300
72524222503450624
oct277154554375444
951464588112700
1013140011121444
11420671379a609
12158275717a830
1374413694253c
14335da0d0a884
1517bc06353899
hexbf365b1fb24

13140011121444 has 60 divisors (see below), whose sum is σ = 34353977188608. Its totient is φ = 4379571126000.

The previous prime is 13140011121443. The next prime is 13140011121451. The reversal of 13140011121444 is 44412111004131.

13140011121444 is a `hidden beast` number, since 1 + 3 + 1 + 400 + 1 + 1 + 1 + 214 + 44 = 666.

It is a super-3 number, since 3×131400111214443 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13140011121443) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1291309 + ... + 5286539.

Almost surely, 213140011121444 is an apocalyptic number.

It is an amenable number.

13140011121444 is an abundant number, since it is smaller than the sum of its proper divisors (21213966067164).

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

13140011121444 is a wasteful number, since it uses less digits than its factorization.

13140011121444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4005398 (or 4005387 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 13140011121444 its reverse (44412111004131), we get a palindrome (57552122125575).

The spelling of 13140011121444 in words is "thirteen trillion, one hundred forty billion, eleven million, one hundred twenty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 10151 20302 30453 40604 60906 91359 121812 182718 274077 365436 548154 822231 1096308 1644462 3288924 3995231 7990462 11985693 15980924 23971386 35957079 47942772 71914158 107871237 143828316 215742474 323613711 431484948 647227422 1294454844 40555589881 81111179762 121666769643 162222359524 243333539286 365000308929 486667078572 730000617858 1095000926787 1460001235716 2190001853574 3285002780361 4380003707148 6570005560722 13140011121444