Search a number
-
+
7385530201140 = 22357138319338431
BaseRepresentation
bin110101101111001001111…
…1001110111010000110100
3222011001100022001101220210
41223132103321313100310
51432001031212414030
623412510555425420
71361405215622550
oct153362371672064
928131308041823
107385530201140
112398205292693
129b3447155270
134175b62183c0
141b766678c860
15cc1abb14bb0
hex6b793e77434

7385530201140 has 384 divisors, whose sum is σ = 25774702313472. Its totient is φ = 1538512496640.

The previous prime is 7385530201129. The next prime is 7385530201199. The reversal of 7385530201140 is 411020355837.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 875992725 + ... + 876001155.

It is an arithmetic number, because the mean of its divisors is an integer number (67121620608).

Almost surely, 27385530201140 is an apocalyptic number.

7385530201140 is a gapful number since it is divisible by the number (70) 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 7385530201140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12887351156736).

7385530201140 is an abundant number, since it is smaller than the sum of its proper divisors (18389172112332).

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

7385530201140 is a wasteful number, since it uses less digits than its factorization.

7385530201140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10479 (or 10477 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

Adding to 7385530201140 its reverse (411020355837), we get a palindrome (7796550556977).

The spelling of 7385530201140 in words is "seven trillion, three hundred eighty-five billion, five hundred thirty million, two hundred one thousand, one hundred forty".