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1131412111424 = 26743241243701
BaseRepresentation
bin10000011101101101011…
…010101100000001000000
311000011101001111100210222
4100131231122230001000
5122014113000031144
62223432532042212
7144512306161220
oct20355532540100
94004331440728
101131412111424
113a6913706261
12163337763368
13828cb89c75a
143ca91298080
151e66d5632ee
hex1076d6ac040

1131412111424 has 112 divisors (see below), whose sum is σ = 2636457918336. Its totient is φ = 471647232000.

The previous prime is 1131412111399. The next prime is 1131412111433. The reversal of 1131412111424 is 4241112141311.

It is a tau number, because it is divible by the number of its divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 1131412111393 and 1131412111402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4520774 + ... + 4764474.

Almost surely, 21131412111424 is an apocalyptic number.

1131412111424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131412111424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318228959168).

1131412111424 is an abundant number, since it is smaller than the sum of its proper divisors (1505045806912).

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

1131412111424 is a wasteful number, since it uses less digits than its factorization.

1131412111424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244004 (or 243994 counting only the distinct ones).

The product of its digits is 768, while the sum is 26.

Adding to 1131412111424 its reverse (4241112141311), we get a palindrome (5372524252735).

The spelling of 1131412111424 in words is "one trillion, one hundred thirty-one billion, four hundred twelve million, one hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 172 224 241 301 344 448 482 602 688 964 1204 1376 1687 1928 2408 2752 3374 3856 4816 6748 7712 9632 10363 13496 15424 19264 20726 26992 41452 53984 72541 82904 107968 145082 165808 243701 290164 331616 487402 580328 663232 974804 1160656 1705907 1949608 2321312 3411814 3899216 4642624 6823628 7798432 10479143 13647256 15596864 20958286 27294512 41916572 54589024 58731941 73354001 83833144 109178048 117463882 146708002 167666288 234927764 293416004 335332576 411123587 469855528 586832008 670665152 822247174 939711056 1173664016 1644494348 1879422112 2347328032 2525473463 3288988696 3758844224 4694656064 5050946926 6577977392 10101893852 13155954784 17678314241 20203787704 26311909568 35356628482 40407575408 70713256964 80815150816 141426513928 161630301632 282853027856 565706055712 1131412111424