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210412331444 = 22729417189017
BaseRepresentation
bin1100001111110110001…
…1010110000110110100
3202010002222220221000202
43003331203112012310
511421411024101234
6240355002300032
721126133210310
oct3037543260664
9663088827022
10210412331444
11812653039a7
12349427b7618
1316ac3577a43
14a280cd8b40
15571762e77e
hex30fd8d61b4

210412331444 has 96 divisors (see below), whose sum is σ = 452239925760. Its totient is φ = 83746252800.

The previous prime is 210412331287. The next prime is 210412331471. The reversal of 210412331444 is 444133214012.

It is a super-2 number, since 2×2104123314442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

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, 2319224 + ... + 2408240.

It is an arithmetic number, because the mean of its divisors is an integer number (4710832560).

Almost surely, 2210412331444 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 210412331444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226119962880).

210412331444 is an abundant number, since it is smaller than the sum of its proper divisors (241827594316).

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

210412331444 is a wasteful number, since it uses less digits than its factorization.

210412331444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89169 (or 89167 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 210412331444 its reverse (444133214012), we get a palindrome (654545545456).

The spelling of 210412331444 in words is "two hundred ten billion, four hundred twelve million, three hundred thirty-one thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 29 41 58 71 82 116 142 164 203 284 287 406 497 574 812 994 1148 1189 1988 2059 2378 2911 4118 4756 5822 8236 8323 11644 14413 16646 20377 28826 33292 40754 57652 81508 84419 89017 168838 178034 337676 356068 590933 623119 1181866 1246238 2363732 2492476 2581493 3649697 5162986 6320207 7299394 10325972 12640414 14598788 18070451 25280828 25547879 36140902 44241449 51095758 72281804 88482898 102191516 105841213 176965796 183286003 211682426 259128487 366572006 423364852 518256974 733144012 740888491 1036513948 1283002021 1481776982 1813899409 2566004042 2963553964 3627798818 5132008084 7255597636 7514726123 15029452246 30058904492 52603082861 105206165722 210412331444