Search a number
-
+
1419975321120 = 253552331181283
BaseRepresentation
bin10100101010011101000…
…111111110011000100000
312000202012112002020200000
4110222131013332120200
5141231102140233440
63004154435100000
7204406212036606
oct24523507763040
95022175066600
101419975321120
114a8232060744
121ab24aa41600
13a3b98150805
144ca27509876
1526e0bb53730
hex14a9d1fe620

1419975321120 has 1152 divisors, whose sum is σ = 5461904867328. Its totient is φ = 347344588800.

The previous prime is 1419975321119. The next prime is 1419975321157. The reversal of 1419975321120 is 211235799141.

1419975321120 is a `hidden beast` number, since 1 + 4 + 1 + 9 + 97 + 532 + 1 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5017580499 + ... + 5017580781.

It is an arithmetic number, because the mean of its divisors is an integer number (4741236864).

Almost surely, 21419975321120 is an apocalyptic number.

1419975321120 is a gapful number since it is divisible by the number (10) 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 1419975321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730952433664).

1419975321120 is an abundant number, since it is smaller than the sum of its proper divisors (4041929546208).

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

1419975321120 is a wasteful number, since it uses less digits than its factorization.

1419975321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 548 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The spelling of 1419975321120 in words is "one trillion, four hundred nineteen billion, nine hundred seventy-five million, three hundred twenty-one thousand, one hundred twenty".