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214202234323413 = 32717773343375367
BaseRepresentation
bin110000101101000011011000…
…000101100100000111010101
31001002102112102000010002100100
4300231003120011210013111
5211033442133441322123
62035323051544004313
763055413023244540
oct6055033005440725
91032375360102310
10214202234323413
1162284726042406
12200359b2a60699
13926a2513c044b
143ac762cbc7857
1519b6d5965d643
hexc2d0d81641d5

214202234323413 has 96 divisors (see below), whose sum is σ = 375002434100736. Its totient is φ = 115017130635264.

The previous prime is 214202234323391. The next prime is 214202234323499. The reversal of 214202234323413 is 314323432202412.

214202234323413 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 0 + 2 + 234 + 3 + 2 + 3 + 413 = 666.

It is not a de Polignac number, because 214202234323413 - 25 = 214202234323381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214202234323613) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2842084656 + ... + 2842160022.

It is an arithmetic number, because the mean of its divisors is an integer number (3906275355216).

Almost surely, 2214202234323413 is an apocalyptic number.

It is an amenable number.

214202234323413 is a deficient number, since it is larger than the sum of its proper divisors (160800199777323).

214202234323413 is a wasteful number, since it uses less digits than its factorization.

214202234323413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79603 (or 79600 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 214202234323413 its reverse (314323432202412), we get a palindrome (528525666525825).

The spelling of 214202234323413 in words is "two hundred fourteen trillion, two hundred two billion, two hundred thirty-four million, three hundred twenty-three thousand, four hundred thirteen".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 773 1071 2319 3433 5411 6957 10299 13141 16233 24031 30897 39423 48699 58361 72093 75367 91987 118269 175083 216279 226101 275961 408527 525249 527569 678303 827883 1225581 1281239 1582707 2653709 3676743 3843717 4748121 7961127 8968673 11531151 18575963 23883381 26906019 45113053 55727889 58258691 80718057 135339159 167183667 174776073 258734911 315791371 406017477 407810837 524328219 776204733 947374113 990397747 1223432511 1811144377 2328614199 2842122339 2971193241 3670297533 4398493487 5433433131 6932784229 8913579723 13195480461 16300299393 20798352687 30789454409 39586441383 62395058061 92368363227 200002086203 277105089681 600006258609 1400014603421 1800018775827 3400035465451 4200043810263 10200106396353 12600131430789 23800248258157 30600319189059 71400744774471 214202234323413