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214104423231320 = 235192677400726263
BaseRepresentation
bin110000101011101000010010…
…000101110110111101011000
31001002002011221101021210020212
4300223220102011312331120
5211030341324321400240
62035210114132510252
763045351125546666
oct6053502205667530
91032064841253225
10214104423231320
11622471a3250206
122001aa5617b388
139260c6422a6ab
143ac29d0757c36
1519b453269e165
hexc2ba12176f58

214104423231320 has 128 divisors (see below), whose sum is σ = 507424766284800. Its totient is φ = 81080671873536.

The previous prime is 214104423231319. The next prime is 214104423231401. The reversal of 214104423231320 is 23132324401412.

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 (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8152308509 + ... + 8152334771.

It is an arithmetic number, because the mean of its divisors is an integer number (3964255986600).

Almost surely, 2214104423231320 is an apocalyptic number.

214104423231320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214104423231320 is an abundant number, since it is smaller than the sum of its proper divisors (293320343053480).

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

214104423231320 is a wasteful number, since it uses less digits than its factorization.

214104423231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32977 (or 32973 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 214104423231320 its reverse (23132324401412), we get a palindrome (237236747632732).

The spelling of 214104423231320 in words is "two hundred fourteen trillion, one hundred four billion, four hundred twenty-three million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 2677 4007 5354 8014 10708 13385 16028 20035 21416 26263 26770 32056 40070 50863 52526 53540 76133 80140 101726 105052 107080 131315 152266 160280 203452 210104 254315 262630 304532 380665 406904 498997 508630 525260 609064 761330 997994 1017260 1050520 1522660 1995988 2034520 2494985 3045320 3991976 4989970 9979940 10726739 19959880 21453478 42906956 53633695 70306051 85813912 105235841 107267390 140612102 203808041 210471682 214534780 281224204 351530255 407616082 420943364 429069560 526179205 562448408 703060510 815232164 841886728 1019040205 1052358410 1335814969 1406121020 1630464328 1999480979 2038080410 2104716820 2671629938 2812242040 3998961958 4076160820 4209433640 5343259876 6679074845 7997923916 8152321640 9997404895 10686519752 13358149690 15995847832 19994809790 26716299380 39989619580 53432598760 79979239160 281716346357 563432692714 1126865385428 1408581731785 2253730770856 2817163463570 5352610580783 5634326927140 10705221161566 11268653854280 21410442323132 26763052903915 42820884646264 53526105807830 107052211615660 214104423231320