Search a number
-
+
601149322840 = 2351123317432579
BaseRepresentation
bin10001011111101110100…
…10101011011001011000
32010110200010111201000211
420233313102223121120
534322123211312330
61140055244140504
761301016635323
oct10576722533130
92113603451024
10601149322840
11211a45136890
129860b837734
13448c3aba2b1
142114ab817ba
1510985be7d2a
hex8bf74ab658

601149322840 has 256 divisors, whose sum is σ = 1592126668800. Its totient is φ = 201999705600.

The previous prime is 601149322811. The next prime is 601149322849. The reversal of 601149322840 is 48223941106.

It is a super-2 number, since 2×6011493228402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 601149322793 and 601149322802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (601149322849) 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, 233092671 + ... + 233095249.

It is an arithmetic number, because the mean of its divisors is an integer number (6219244800).

Almost surely, 2601149322840 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 601149322840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796063334400).

601149322840 is an abundant number, since it is smaller than the sum of its proper divisors (990977345960).

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

601149322840 is a wasteful number, since it uses less digits than its factorization.

601149322840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3398 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 601149322840 in words is "six hundred one billion, one hundred forty-nine million, three hundred twenty-two thousand, eight hundred forty".