Search a number
-
+
1041042001120 = 255114159439557
BaseRepresentation
bin11110010011000101111…
…00000100110011100000
310200112010000012002210121
433021202330010303200
5114024023223013440
62114125331010024
7135132664001662
oct17114274046340
93615100162717
101041042001120
1137155a084890
12149916a39914
13772291a28c4
143855b176532
151c12e97934a
hexf262f04ce0

1041042001120 has 384 divisors, whose sum is σ = 2806470374400. Its totient is φ = 361590374400.

The previous prime is 1041042001091. The next prime is 1041042001183. The reversal of 1041042001120 is 211002401401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1041042001094 and 1041042001103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1869015882 + ... + 1869016438.

It is an arithmetic number, because the mean of its divisors is an integer number (7308516600).

Almost surely, 21041042001120 is an apocalyptic number.

1041042001120 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 1041042001120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1403235187200).

1041042001120 is an abundant number, since it is smaller than the sum of its proper divisors (1765428373280).

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

1041042001120 is a wasteful number, since it uses less digits than its factorization.

1041042001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1041042001120 its reverse (211002401401), we get a palindrome (1252044402521).

The spelling of 1041042001120 in words is "one trillion, forty-one billion, forty-two million, one thousand, one hundred twenty".