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1371121407144 = 233219043352877
BaseRepresentation
bin10011111100111101001…
…101000101010010101000
311212002002210211021111200
4103330331031011102220
5134431024040012034
62525515014124200
7201026444443536
oct23747515052250
94762083737450
101371121407144
11489542320025
121a1895950660
139c3b09794c8
144a5110b3156
15259ecbe9a99
hex13f3d3454a8

1371121407144 has 24 divisors (see below), whose sum is σ = 3713453811210. Its totient is φ = 457040469024.

The previous prime is 1371121407127. The next prime is 1371121407169. The reversal of 1371121407144 is 4417041211731.

1371121407144 is a `hidden beast` number, since 1 + 371 + 1 + 2 + 140 + 7 + 144 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1306929104100 + 64192303044 = 1143210^2 + 253362^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×13711214071442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1371121407099 and 1371121407108.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9521676367 + ... + 9521676510.

Almost surely, 21371121407144 is an apocalyptic number.

It is an amenable number.

1371121407144 is an abundant number, since it is smaller than the sum of its proper divisors (2342332404066).

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

1371121407144 is a wasteful number, since it uses less digits than its factorization.

1371121407144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19043352889 (or 19043352882 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 1371121407144 its reverse (4417041211731), we get a palindrome (5788162618875).

The spelling of 1371121407144 in words is "one trillion, three hundred seventy-one billion, one hundred twenty-one million, four hundred seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 19043352877 38086705754 57130058631 76173411508 114260117262 152346823016 171390175893 228520234524 342780351786 457040469048 685560703572 1371121407144