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1001422114440 = 2335118310190499
BaseRepresentation
bin11101001001010010110…
…10001100111010001000
310112201211211101022202020
432210221122030322020
5112401403030130230
62044014051204440
7132231113345166
oct16445132147210
93481754338666
101001422114440
11356778749590
121420ba2a6720
1373583abac87
143667d274236
151b0b1528810
hexe92968ce88

1001422114440 has 256 divisors, whose sum is σ = 3349745280000. Its totient is φ = 237466752000.

The previous prime is 1001422114411. The next prime is 1001422114529. The reversal of 1001422114440 is 444112241001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1001422114440.

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, 11020311 + ... + 11110809.

It is an arithmetic number, because the mean of its divisors is an integer number (13084942500).

Almost surely, 21001422114440 is an apocalyptic number.

1001422114440 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 1001422114440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674872640000).

1001422114440 is an abundant number, since it is smaller than the sum of its proper divisors (2348323165560).

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

1001422114440 is a wasteful number, since it uses less digits than its factorization.

1001422114440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90708 (or 90704 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 1001422114440 its reverse (444112241001), we get a palindrome (1445534355441).

The spelling of 1001422114440 in words is "one trillion, one billion, four hundred twenty-two million, one hundred fourteen thousand, four hundred forty".