Search a number
-
+
3245354535423 = 371121310129631
BaseRepresentation
bin101111001110011110001…
…101000100100111111111
3102111020211100010002011210
4233032132031010213333
5411132441230113143
610522521214415503
7453316624253250
oct57163615044777
912436740102153
103245354535423
111041390035700
12444b7a801593
131a7060343890
14b310c774b27
15596447d9033
hex2f39e3449ff

3245354535423 has 144 divisors (see below), whose sum is σ = 5913026545664. Its totient is φ = 1540645920000.

The previous prime is 3245354535419. The next prime is 3245354535457.

It is a happy number.

3245354535423 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3245354535423 - 22 = 3245354535419 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3245354535413) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 336964818 + ... + 336974448.

Almost surely, 23245354535423 is an apocalyptic number.

3245354535423 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3245354535423 is a deficient number, since it is larger than the sum of its proper divisors (2667672010241).

3245354535423 is a wasteful number, since it uses less digits than its factorization.

3245354535423 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9878 (or 9766 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 48.

The spelling of 3245354535423 in words is "three trillion, two hundred forty-five billion, three hundred fifty-four million, five hundred thirty-five thousand, four hundred twenty-three".

Divisors: 1 3 7 11 13 21 33 39 77 91 101 121 143 231 273 303 363 429 707 847 1001 1111 1313 1573 2121 2541 3003 3333 3939 4719 7777 9191 9631 10201 11011 12221 14443 23331 27573 28893 30603 33033 36663 43329 67417 71407 85547 101101 105941 112211 125203 132613 158873 202251 214221 256641 303303 317823 336633 375609 397839 476619 741587 785477 876421 928291 972731 1112111 1165351 1234321 1377233 1458743 2224761 2356431 2629263 2784873 2918193 3336333 3496053 3702963 4131699 4376229 6809117 8157457 8640247 9640631 10211201 10700041 12645503 15149563 16046173 20427351 24472371 25920741 28921893 30633603 32100123 37936509 45448689 48138519 74900287 88518521 98245831 106046941 112323211 117700451 139100533 224700861 265555563 294737493 318140823 336969633 353101353 417301599 687720817 823903157 973703731 1080704141 1277195803 1530105863 2063162451 2471709471 2921111193 3242112423 3831587409 4590317589 7564928987 8940370621 10710741041 11887745551 14049153833 22694786961 26821111863 32132223123 35663236653 42147461499 83214218857 98344076831 154540692163 249642656571 295032230493 463622076489 1081784845141 3245354535423