Search a number
-
+
14053055003504 = 24113763114512357
BaseRepresentation
bin1100110001111111101101…
…0110011111101101110000
31211202110101120021101100022
43030133323112133231300
53320221124040103004
645515515003543012
72650204542423056
oct314377326375560
954673346241308
1014053055003504
11452895a207020
1216ab6ab82aa68
137ac2748c5b4a
143682588021d6
15195843a9e2be
hexcc7fb59fb70

14053055003504 has 160 divisors (see below), whose sum is σ = 30588207800832. Its totient is φ = 6198353280000.

The previous prime is 14053055003503. The next prime is 14053055003509. The reversal of 14053055003504 is 40530055035041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14053055003503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5962262294 + ... + 5962264650.

Almost surely, 214053055003504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14053055003504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15294103900416).

14053055003504 is an abundant number, since it is smaller than the sum of its proper divisors (16535152797328).

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

14053055003504 is a wasteful number, since it uses less digits than its factorization.

14053055003504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4495 (or 4489 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 35.

The spelling of 14053055003504 in words is "fourteen trillion, fifty-three billion, fifty-five million, three thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 148 176 296 407 592 631 814 1262 1451 1628 2357 2524 2902 3256 4714 5048 5804 6512 6941 9428 10096 11608 13882 15961 18856 23216 23347 25927 27764 31922 37712 46694 51854 53687 55528 63844 87209 93388 103708 107374 111056 127688 174418 186776 207416 214748 255376 256817 348836 373552 414832 429496 513634 590557 697672 858992 915581 959299 1027268 1181114 1395344 1487267 1831162 1918598 2054536 2362228 2974534 3420007 3662324 3837196 4109072 4724456 5949068 6840014 7324648 7674392 9448912 10071391 11898136 13680028 14649296 15348784 16359937 20142782 23796272 27360056 32719874 33876497 37620077 40285564 54720112 55028879 65439748 67752994 75240154 80571128 110057758 126540259 130879496 135505988 150480308 161142256 220115516 253080518 261758992 271011976 300960616 372641467 440231032 506161036 542023952 601921232 605317669 745282934 880462064 1012322072 1210635338 1391942849 1490565868 2024644144 2158024417 2421270676 2783885698 2981131736 4316048834 4842541352 5567771396 5962263472 8632097668 9685082704 11135542792 17264195336 22271085584 23738268587 34528390672 47476537174 79846903429 94953074348 159693806858 189906148696 319387613716 379812297392 638775227432 878315937719 1277550454864 1756631875438 3513263750876 7026527501752 14053055003504