Search a number
-
+
604010401000 = 235341101145861
BaseRepresentation
bin10001100101000011101…
…00110100110011101000
32010202001112010112102121
420302201310310303220
534344003130313000
61141251211041024
761431640461136
oct10624164646350
92122045115377
10604010401000
11213183141196
1299089a40174
1344c5b781156
142133cb44756
1510aa1e99b1a
hex8ca1d34ce8

604010401000 has 128 divisors (see below), whose sum is σ = 1462202370720. Its totient is φ = 233376000000.

The previous prime is 604010400989. The next prime is 604010401019. The reversal of 604010401000 is 104010406.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 87880230916 + 516130170084 = 296446^2 + 718422^2 .

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, 4068070 + ... + 4213930.

Almost surely, 2604010401000 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 604010401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731101185360).

604010401000 is an abundant number, since it is smaller than the sum of its proper divisors (858191969720).

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

604010401000 is a wasteful number, since it uses less digits than its factorization.

604010401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146024 (or 146010 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 604010401000 its reverse (104010406), we get a palindrome (604114411406).

The spelling of 604010401000 in words is "six hundred four billion, ten million, four hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 101 125 164 200 202 205 250 328 404 410 500 505 808 820 1000 1010 1025 1640 2020 2050 2525 4040 4100 4141 5050 5125 8200 8282 10100 10250 12625 16564 20200 20500 20705 25250 33128 41000 41410 50500 82820 101000 103525 145861 165640 207050 291722 414100 517625 583444 729305 828200 1035250 1166888 1458610 2070500 2917220 3646525 4141000 5834440 5980301 7293050 11960602 14586100 14731961 18232625 23921204 29172200 29463922 29901505 36465250 47842408 58927844 59803010 72930500 73659805 117855688 119606020 145861000 147319610 149507525 239212040 294639220 299015050 368299025 589278440 598030100 604010401 736598050 747537625 1196060200 1208020802 1473196100 1495075250 1841495125 2416041604 2946392200 2990150500 3020052005 3682990250 4832083208 5980301000 6040104010 7365980500 12080208020 14731961000 15100260025 24160416040 30200520050 60401040100 75501300125 120802080200 151002600250 302005200500 604010401000