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416211234430416 = 243541112131429399
BaseRepresentation
bin101111010100010101011101…
…0110001111001110111010000
32000120200101221112212210200020
41132220222322301321313100
5414023201102003233131
64033112445042023440
7153445161250665435
oct13650527261716720
92016611845783606
10416211234430416
111106882142600a7
123a820638347b80
1314b31721700599
1474aca346ddb8c
15331b9218c8996
hex17a8abac79dd0

416211234430416 has 80 divisors (see below), whose sum is σ = 1077296629852800. Its totient is φ = 138468185648640.

The previous prime is 416211234430403. The next prime is 416211234430417. The reversal of 416211234430416 is 614034432112614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416211234430417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290464485 + ... + 291893883.

It is an arithmetic number, because the mean of its divisors is an integer number (13466207873160).

Almost surely, 2416211234430416 is an apocalyptic number.

It is an amenable number.

416211234430416 is an abundant number, since it is smaller than the sum of its proper divisors (661085395422384).

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

416211234430416 is a wasteful number, since it uses less digits than its factorization.

416211234430416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441164 (or 1441158 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 416211234430416 in words is "four hundred sixteen trillion, two hundred eleven billion, two hundred thirty-four million, four hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 541 1082 1623 2164 3246 4328 6492 8656 11213 12984 22426 25968 33639 44852 67278 89704 134556 179408 269112 538224 1429399 2858798 4288197 5717596 6066233 8576394 11435192 12132466 17152788 18198699 22870384 24264932 34305576 36397398 48529864 68611152 72794796 97059728 145589592 291179184 773304859 1546609718 2319914577 3093219436 4639829154 6186438872 9279658308 12372877744 16027850987 18559316616 32055701974 37118633232 48083552961 64111403948 96167105922 128222807896 192334211844 256445615792 384668423688 769336847376 8671067383967 17342134767934 26013202151901 34684269535868 52026404303802 69368539071736 104052808607604 138737078143472 208105617215208 416211234430416