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4541340036740 = 225131741101248117
BaseRepresentation
bin100001000010101110011…
…1101011010111010000100
3121002010222210110212111112
41002011130331122322010
51043401131022133430
613354132433424152
7646046432254103
oct102053475327204
917063883425445
104541340036740
1114a0a76070591
1261418570b058
1326c3288111c0
14119b32ab403a
157d1e6073195
hex4215cf5ae84

4541340036740 has 192 divisors, whose sum is σ = 11250130627008. Its totient is φ = 1524424704000.

The previous prime is 4541340036721. The next prime is 4541340036743. The reversal of 4541340036740 is 476300431454.

It is a happy number.

It can be written as a sum of positive squares in 32 ways, for example, as 4010062320196 + 531277716544 = 2002514^2 + 728888^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (4541340036743) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18179162 + ... + 18427278.

It is an arithmetic number, because the mean of its divisors is an integer number (58594430349).

Almost surely, 24541340036740 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 4541340036740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5625065313504).

4541340036740 is an abundant number, since it is smaller than the sum of its proper divisors (6708790590268).

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

4541340036740 is a wasteful number, since it uses less digits than its factorization.

4541340036740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248298 (or 248296 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 41.

The spelling of 4541340036740 in words is "four trillion, five hundred forty-one billion, three hundred forty million, thirty-six thousand, seven hundred forty".