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1310122241344 = 26719153914737
BaseRepresentation
bin10011000100001001010…
…111101110110101000000
311122020122200010120221201
4103010021113232311000
5132431112243210334
62441510054230544
7163440023211160
oct23041127566500
94566580116851
101310122241344
1146568a939a04
12191ab1355454
139670c214a67
14475a5a4c5a0
152412c8ccc14
hex131095eed40

1310122241344 has 56 divisors (see below), whose sum is σ = 3127547476160. Its totient is φ = 531929327616.

The previous prime is 1310122241341. The next prime is 1310122241353. The reversal of 1310122241344 is 4431422210131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1310122241341) 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, 76948857 + ... + 76965880.

Almost surely, 21310122241344 is an apocalyptic number.

1310122241344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1310122241344 is an abundant number, since it is smaller than the sum of its proper divisors (1817425234816).

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

1310122241344 is a wasteful number, since it uses less digits than its factorization.

1310122241344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153914775 (or 153914765 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 1310122241344 its reverse (4431422210131), we get a palindrome (5741544451475).

The spelling of 1310122241344 in words is "one trillion, three hundred ten billion, one hundred twenty-two million, two hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 8512 153914737 307829474 615658948 1077403159 1231317896 2154806318 2462635792 2924380003 4309612636 4925271584 5848760006 8619225272 9850543168 11697520012 17238450544 20470660021 23395040024 34476901088 40941320042 46790080048 68953802176 81882640084 93580160096 163765280168 187160320192 327530560336 655061120672 1310122241344