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13144404302440 = 23519109158672191
BaseRepresentation
bin1011111101000110101110…
…0011001001101001101000
31201112121000010200011011021
42333101223203021221220
53210324220000134230
643542242253542224
72524436410045525
oct277215343115150
951477003604137
1013144404302440
114208568611504
1215835824a4974
13744686b58818
1433629a56c14c
1517bdb1d91c7a
hexbf46b8c9a68

13144404302440 has 64 divisors (see below), whose sum is σ = 31417094016000. Its totient is φ = 4935339797760.

The previous prime is 13144404302437. The next prime is 13144404302483. The reversal of 13144404302440 is 4420340444131.

It is a junction number, because it is equal to n+sod(n) for n = 13144404302396 and 13144404302405.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 79253256 + ... + 79418935.

It is an arithmetic number, because the mean of its divisors is an integer number (490892094000).

Almost surely, 213144404302440 is an apocalyptic number.

13144404302440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13144404302440 is an abundant number, since it is smaller than the sum of its proper divisors (18272689713560).

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

13144404302440 is a wasteful number, since it uses less digits than its factorization.

13144404302440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158672330 (or 158672326 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 34.

Adding to 13144404302440 its reverse (4420340444131), we get a palindrome (17564744746571).

The spelling of 13144404302440 in words is "thirteen trillion, one hundred forty-four billion, four hundred four million, three hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 109 152 190 218 380 436 545 760 872 1090 2071 2180 4142 4360 8284 10355 16568 20710 41420 82840 158672191 317344382 634688764 793360955 1269377528 1586721910 3014771629 3173443820 6029543258 6346887640 12059086516 15073858145 17295268819 24118173032 30147716290 34590537638 60295432580 69181075276 86476344095 120590865160 138362150552 172952688190 328610107561 345905376380 657220215122 691810752760 1314440430244 1643050537805 2628880860488 3286101075610 6572202151220 13144404302440