Search a number
-
+
4134111330321 = 32719103144723173
BaseRepresentation
bin111100001010001100001…
…111001100000000010001
3112122012212022211011111100
4330022030033030000101
51020213130000032241
612443103505135013
7604452063336210
oct74121417140021
915565768734440
104134111330321
1113542a3085055
1256927562a469
1323caca6a16ab
1410414085d077
157280ec359b6
hex3c28c3cc011

4134111330321 has 96 divisors (see below), whose sum is σ = 7258823536640. Its totient is φ = 2214659636352.

The previous prime is 4134111330301. The next prime is 4134111330331. The reversal of 4134111330321 is 1230331114314.

4134111330321 is a `hidden beast` number, since 4 + 1 + 3 + 4 + 1 + 1 + 1 + 330 + 321 = 666.

It is not a de Polignac number, because 4134111330321 - 213 = 4134111322129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4134111330301) 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, 178390491 + ... + 178413663.

Almost surely, 24134111330321 is an apocalyptic number.

It is an amenable number.

4134111330321 is a deficient number, since it is larger than the sum of its proper divisors (3124712206319).

4134111330321 is a wasteful number, since it uses less digits than its factorization.

4134111330321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24755 (or 24752 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 4134111330321 its reverse (1230331114314), we get a palindrome (5364442444635).

The spelling of 4134111330321 in words is "four trillion, one hundred thirty-four billion, one hundred eleven million, three hundred thirty thousand, three hundred twenty-one".

Divisors: 1 3 7 9 19 21 57 63 103 133 171 309 399 721 927 1197 1447 1957 2163 4341 5871 6489 10129 13023 13699 17613 23173 27493 30387 41097 69519 82479 91161 123291 149041 162211 192451 208557 247437 440287 447123 486633 577353 1043287 1320861 1341369 1459899 1732059 2386819 2831779 3082009 3129861 3962583 7160457 8495337 9246027 9389583 16707733 19822453 21481371 25486011 27738081 33531331 45349561 50123199 59467359 100593993 136048683 150369597 178402077 234719317 301781979 317446927 408146049 637095289 704157951 952340781 1911285867 2112473853 2857022343 3453727093 4459667023 5733857601 10361181279 13379001069 24176089651 31083543837 40137003207 65620814767 72528268953 196862444301 217584806859 459345703369 590587332903 1378037110107 4134111330321