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1035441201144 = 23376163340483
BaseRepresentation
bin11110001000101010001…
…10101101111111111000
310122222122200021222121110
433010111012231333320
5113431040421414034
62111401454240320
7134544124664040
oct17042506557770
93588580258543
101035441201144
1136a145622979
121488131b60a0
1376845a2828c
14381893a0720
151be02de7de9
hexf1151adff8

1035441201144 has 32 divisors (see below), whose sum is σ = 2958403432320. Its totient is φ = 295840343136.

The previous prime is 1035441201143. The next prime is 1035441201199. The reversal of 1035441201144 is 4411021445301.

It is a super-3 number, since 3×10354412011443 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035441201143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3081670074 + ... + 3081670409.

It is an arithmetic number, because the mean of its divisors is an integer number (92450107260).

Almost surely, 21035441201144 is an apocalyptic number.

1035441201144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1035441201144 is an abundant number, since it is smaller than the sum of its proper divisors (1922962231176).

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

1035441201144 is a wasteful number, since it uses less digits than its factorization.

1035441201144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6163340499 (or 6163340495 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 1035441201144 its reverse (4411021445301), we get a palindrome (5446462646445).

The spelling of 1035441201144 in words is "one trillion, thirty-five billion, four hundred forty-one million, two hundred one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 6163340483 12326680966 18490021449 24653361932 36980042898 43143383381 49306723864 73960085796 86286766762 129430150143 147920171592 172573533524 258860300286 345147067048 517720600572 1035441201144