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4430101140324 = 2233371429775811
BaseRepresentation
bin100000001110111011010…
…0110101101001101100100
3120200111212100212102202000
41000131312212231031210
51040040321342442244
613231054350045300
7635031015244536
oct100356646551544
916614770772660
104430101140324
111458882668242
125b66bbaa9830
132619ab7516c2
141145bd157856
157a38530a169
hex407769ad364

4430101140324 has 96 divisors (see below), whose sum is σ = 11804134742400. Its totient is φ = 1435782257280.

The previous prime is 4430101140263. The next prime is 4430101140331. The reversal of 4430101140324 is 4230411010344.

It is a super-2 number, since 2×44301011403242 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5322379 + ... + 6098189.

It is an arithmetic number, because the mean of its divisors is an integer number (122959736900).

Almost surely, 24430101140324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4430101140324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5902067371200).

4430101140324 is an abundant number, since it is smaller than the sum of its proper divisors (7374033602076).

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

4430101140324 is a wasteful number, since it uses less digits than its factorization.

4430101140324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777290 (or 777282 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 4430101140324 its reverse (4230411010344), we get a palindrome (8660512150668).

The spelling of 4430101140324 in words is "four trillion, four hundred thirty billion, one hundred one million, one hundred forty thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1429 1998 2858 3996 4287 5716 8574 12861 17148 25722 38583 51444 52873 77166 105746 154332 158619 211492 317238 475857 634476 775811 951714 1427571 1551622 1903428 2327433 2855142 3103244 4654866 5710284 6982299 9309732 13964598 20946897 27929196 28705007 41893794 57410014 83787588 86115021 114820028 172230042 258345063 344460084 516690126 775035189 1033380252 1108633919 1550070378 2217267838 3100140756 3325901757 4434535676 6651803514 9977705271 13303607028 19955410542 29933115813 39910821084 41019455003 59866231626 82038910006 119732463252 123058365009 164077820012 246116730018 369175095027 492233460036 738350190054 1107525285081 1476700380108 2215050570162 4430101140324