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2214431240010 = 2351179592314341
BaseRepresentation
bin100000001110010110011…
…000110010111101001010
321211200211112001111010020
4200032112120302331022
5242240123344140020
64413143510401310
7315662445654063
oct40162630627512
97750745044106
102214431240010
11784153783220
122b9208660236
13130a87621202
147927142156a
153c908369c40
hex20396632f4a

2214431240010 has 128 divisors (see below), whose sum is σ = 5872573992960. Its totient is φ = 529910035200.

The previous prime is 2214431240003. The next prime is 2214431240069. The reversal of 2214431240010 is 100421344122.

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 63 ways as a sum of consecutive naturals, for example, 154405440 + ... + 154419780.

It is an arithmetic number, because the mean of its divisors is an integer number (45879484320).

Almost surely, 22214431240010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2214431240010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2936286996480).

2214431240010 is an abundant number, since it is smaller than the sum of its proper divisors (3658142752950).

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

2214431240010 is a wasteful number, since it uses less digits than its factorization.

2214431240010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20364.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 2214431240010 its reverse (100421344122), we get a palindrome (2314852584132).

The spelling of 2214431240010 in words is "two trillion, two hundred fourteen billion, four hundred thirty-one million, two hundred forty thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 79 110 158 165 237 330 395 474 790 869 1185 1738 2370 2607 4345 5214 5923 8690 11846 13035 14341 17769 26070 28682 29615 35538 43023 59230 65153 71705 86046 88845 130306 143410 157751 177690 195459 215115 315502 325765 390918 430230 467917 473253 651530 788755 935834 946506 977295 1132939 1403751 1577510 1954590 2265878 2339585 2366265 2807502 3398817 4679170 4732530 5147087 5664695 6797634 7018755 10294174 11329390 12462329 14037510 15441261 16994085 24924658 25735435 30882522 33988170 37386987 51470870 62311645 74773974 77206305 84941743 124623290 154412610 169883486 186934935 254825229 373869870 424708715 509650458 849417430 934359173 1274126145 1868718346 2548252290 2803077519 4671795865 5606155038 6710397697 9343591730 13420795394 14015387595 20131193091 28030775190 33551988485 40262386182 67103976970 73814374667 100655965455 147628749334 201311930910 221443124001 369071873335 442886248002 738143746670 1107215620005 2214431240010