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4413234412220 = 22519101251458119
BaseRepresentation
bin100000000111000100101…
…0001001111101010111100
3120121220022220010212111112
41000032021101033222330
51034301301002142340
613215224545341152
7633563030362244
oct100161121175274
916556286125445
104413234412220
111451707855827
125b33933377b8
1326022125110a
1411385d04ab24
1579be96ab065
hex4038944fabc

4413234412220 has 96 divisors (see below), whose sum is σ = 9891433843200. Its totient is φ = 1649224800000.

The previous prime is 4413234412211. The next prime is 4413234412241. The reversal of 4413234412220 is 222144323144.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9404321 + ... + 9862439.

It is an arithmetic number, because the mean of its divisors is an integer number (103035769200).

Almost surely, 24413234412220 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 4413234412220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4945716921600).

4413234412220 is an abundant number, since it is smaller than the sum of its proper divisors (5478199430980).

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

4413234412220 is a wasteful number, since it uses less digits than its factorization.

4413234412220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458499 (or 458497 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4413234412220 its reverse (222144323144), we get a palindrome (4635378735364).

The spelling of 4413234412220 in words is "four trillion, four hundred thirteen billion, two hundred thirty-four million, four hundred twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 101 190 202 251 380 404 502 505 1004 1010 1255 1919 2020 2510 3838 4769 5020 7676 9538 9595 19076 19190 23845 25351 38380 47690 50702 95380 101404 126755 253510 458119 481669 507020 916238 963338 1832476 1926676 2290595 2408345 4581190 4816690 8704261 9162380 9633380 17408522 34817044 43521305 46270019 87042610 92540038 114987869 174085220 185080076 229975738 231350095 459951476 462700190 574939345 879130361 925400380 1149878690 1758260722 2184769511 2299757380 3516521444 4369539022 4395651805 8739078044 8791303610 10923847555 11613774769 17582607220 21847695110 23227549538 43695390220 46455099076 58068873845 116137747690 220661720611 232275495380 441323441222 882646882444 1103308603055 2206617206110 4413234412220