Search a number
-
+
1041414220404 = 223523139335131
BaseRepresentation
bin11110010011110010001…
…11111110101001110100
310200120001221120210200000
433021321013332221310
5114030304020023104
62114230304551300
7135145133550255
oct17117107765164
93616057523600
101041414220404
113717301a5728
121499bb622530
13772883383bc
1438594788b2c
151c1524a1639
hexf2791fea74

1041414220404 has 144 divisors (see below), whose sum is σ = 2869158888960. Its totient is φ = 329655316320.

The previous prime is 1041414220403. The next prime is 1041414220463. The reversal of 1041414220404 is 4040224141401.

It is a happy number.

1041414220404 is a `hidden beast` number, since 1 + 0 + 41 + 414 + 2 + 204 + 0 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041414220403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2939919 + ... + 3275049.

Almost surely, 21041414220404 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 1041414220404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434579444480).

1041414220404 is an abundant number, since it is smaller than the sum of its proper divisors (1827744668556).

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

1041414220404 is a wasteful number, since it uses less digits than its factorization.

1041414220404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335312 (or 335298 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 1041414220404 its reverse (4040224141401), we get a palindrome (5081638361805).

The spelling of 1041414220404 in words is "one trillion, forty-one billion, four hundred fourteen million, two hundred twenty thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 139 162 207 243 276 278 324 414 417 486 556 621 828 834 972 1242 1251 1668 1863 2484 2502 3197 3726 3753 5004 5589 6394 7452 7506 9591 11178 11259 12788 15012 19182 22356 22518 28773 33777 38364 45036 57546 67554 86319 115092 135108 172638 258957 335131 345276 517914 670262 776871 1005393 1035828 1340524 1553742 2010786 3016179 3107484 4021572 6032358 7708013 9048537 12064716 15416026 18097074 23124039 27145611 30832052 36194148 46248078 46583209 54291222 69372117 81436833 92496156 93166418 108582444 138744234 139749627 162873666 186332836 208116351 277488468 279499254 325747332 416232702 419248881 558998508 624349053 832465404 838497762 1071413807 1248698106 1257746643 1676995524 1873047159 2142827614 2497396212 2515493286 3214241421 3746094318 3773239929 4285655228 5030986572 6428482842 7492188636 7546479858 9642724263 11319719787 12856965684 15092959716 19285448526 22639439574 28928172789 38570897052 45278879148 57856345578 86784518367 115712691156 173569036734 260353555101 347138073468 520707110202 1041414220404