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1102046497440 = 253572924114691
BaseRepresentation
bin10000000010010111000…
…101110000101010100000
310220100120111220121110020
4100002113011300222200
5121023442400404230
62202135001033440
7142422511445250
oct20022705605240
93810514817406
101102046497440
11395414576899
12159701185880
137cbcba826c5
143b4a71c7960
151da0049a810
hex10097170aa0

1102046497440 has 384 divisors, whose sum is σ = 4106750699520. Its totient is φ = 243057561600.

The previous prime is 1102046497327. The next prime is 1102046497457. The reversal of 1102046497440 is 447946402011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1102046497392 and 1102046497401.

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, 234925495 + ... + 234930185.

It is an arithmetic number, because the mean of its divisors is an integer number (10694663280).

Almost surely, 21102046497440 is an apocalyptic number.

1102046497440 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 1102046497440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2053375349760).

1102046497440 is an abundant number, since it is smaller than the sum of its proper divisors (3004704202080).

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

1102046497440 is a wasteful number, since it uses less digits than its factorization.

1102046497440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7156 (or 7148 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 1102046497440 in words is "one trillion, one hundred two billion, forty-six million, four hundred ninety-seven thousand, four hundred forty".