Search a number
-
+
4126136504424 = 23311471572118079
BaseRepresentation
bin111100000010110000111…
…001101001000001101000
3112121110021112210000222020
4330002300321221001220
51020100311421120144
612435304305024440
7604050336415014
oct74026071510150
915543245700866
104126136504424
111350980541350
1256780a925120
1323c129433abc
141039c5669544
15724e4a5e419
hex3c0b0e69068

4126136504424 has 128 divisors (see below), whose sum is σ = 11565733478400. Its totient is φ = 1215946218240.

The previous prime is 4126136504423. The next prime is 4126136504431. The reversal of 4126136504424 is 4244056316214.

It is not an unprimeable number, because it can be changed into a prime (4126136504423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 889017 + ... + 3007095.

It is an arithmetic number, because the mean of its divisors is an integer number (90357292800).

Almost surely, 24126136504424 is an apocalyptic number.

4126136504424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4126136504424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5782866739200).

4126136504424 is an abundant number, since it is smaller than the sum of its proper divisors (7439596973976).

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

4126136504424 is a wasteful number, since it uses less digits than its factorization.

4126136504424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118303 (or 2118299 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 4126136504424 in words is "four trillion, one hundred twenty-six billion, one hundred thirty-six million, five hundred four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 157 188 264 282 314 376 471 517 564 628 942 1034 1128 1256 1551 1727 1884 2068 3102 3454 3768 4136 5181 6204 6908 7379 10362 12408 13816 14758 20724 22137 29516 41448 44274 59032 81169 88548 162338 177096 243507 324676 487014 649352 974028 1948056 2118079 4236158 6354237 8472316 12708474 16944632 23298869 25416948 46597738 50833896 69896607 93195476 99549713 139793214 186390952 199099426 279586428 298649139 332538403 398198852 559172856 597298278 665076806 796397704 997615209 1095046843 1194596556 1330153612 1995230418 2190093686 2389193112 2660307224 3285140529 3657922433 3990460836 4380187372 6570281058 7315844866 7980921672 8760374744 10973767299 13140562116 14631689732 15629304941 21947534598 26281124232 29263379464 31258609882 43895069196 46887914823 62517219764 87790138392 93775829646 125034439528 171922354351 187551659292 343844708702 375103318584 515767063053 687689417404 1031534126106 1375378834808 2063068252212 4126136504424