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541126001424 = 243139593136769
BaseRepresentation
bin1111101111111011001…
…11111000001100010000
31220201202000001001022110
413313331213320030100
532331211224021144
61052331224105320
754044415056211
oct7677547701420
91821660031273
10541126001424
11199543580028
1288a5a005240
133c049585c68
141c29517b408
15e1213da0b9
hex7dfd9f8310

541126001424 has 80 divisors (see below), whose sum is σ = 1410350356800. Its totient is φ = 178774376448.

The previous prime is 541126001411. The next prime is 541126001441. The reversal of 541126001424 is 424100621145.

It is a junction number, because it is equal to n+sod(n) for n = 541126001391 and 541126001400.

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 15 ways as a sum of consecutive naturals, for example, 3888112 + ... + 4024880.

It is an arithmetic number, because the mean of its divisors is an integer number (17629379460).

Almost surely, 2541126001424 is an apocalyptic number.

It is an amenable number.

541126001424 is an abundant number, since it is smaller than the sum of its proper divisors (869224355376).

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

541126001424 is a wasteful number, since it uses less digits than its factorization.

541126001424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137512 (or 137506 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 541126001424 its reverse (424100621145), we get a palindrome (965226622569).

The spelling of 541126001424 in words is "five hundred forty-one billion, one hundred twenty-six million, one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 139 278 417 556 593 834 1112 1186 1668 1779 2224 2372 3336 3558 4744 6672 7116 9488 14232 28464 82427 136769 164854 247281 273538 329708 410307 494562 547076 659416 820614 989124 1094152 1318832 1641228 1978248 2188304 3282456 3956496 6564912 19010891 38021782 57032673 76043564 81104017 114065346 152087128 162208034 228130692 243312051 304174256 324416068 456261384 486624102 648832136 912522768 973248204 1297664272 1946496408 3892992816 11273458363 22546916726 33820375089 45093833452 67640750178 90187666904 135281500356 180375333808 270563000712 541126001424