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4124034332334 = 23272137179190669
BaseRepresentation
bin111100000000110011100…
…110011111011010101110
3112121020212001011121222200
4330000303212133122232
51020032010242113314
612434315532122330
7603644262303300
oct74006346373256
915536761147880
104124034332334
11134aaa195a344
125673229063a6
1323bb82a653a7
141038663b5970
1572420218709
hex3c03399f6ae

4124034332334 has 144 divisors (see below), whose sum is σ = 10528667744400. Its totient is φ = 1163154117888.

The previous prime is 4124034332309. The next prime is 4124034332371. The reversal of 4124034332334 is 4332334304214.

4124034332334 is a `hidden beast` number, since 4 + 12 + 403 + 4 + 3 + 3 + 233 + 4 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 21533952 + ... + 21724620.

It is an arithmetic number, because the mean of its divisors is an integer number (73115748225).

Almost surely, 24124034332334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4124034332334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264333872200).

4124034332334 is an abundant number, since it is smaller than the sum of its proper divisors (6404633412066).

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

4124034332334 is a wasteful number, since it uses less digits than its factorization.

4124034332334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191007 (or 190997 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 4124034332334 its reverse (4332334304214), we get a palindrome (8456368636548).

The spelling of 4124034332334 in words is "four trillion, one hundred twenty-four billion, thirty-four million, three hundred thirty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 137 147 179 274 294 358 411 441 537 822 882 959 1074 1233 1253 1611 1918 2466 2506 2877 3222 3759 5754 6713 7518 8631 8771 11277 13426 17262 17542 20139 22554 24523 26313 40278 49046 52626 60417 73569 78939 120834 147138 157878 171661 190669 220707 343322 381338 441414 514983 572007 1029966 1144014 1201627 1334683 1544949 1716021 2403254 2669366 3089898 3432042 3604881 4004049 7209762 8008098 9342781 10814643 12012147 18685562 21629286 24024294 26121653 28028343 34129751 52243306 56056686 68259502 78364959 84085029 102389253 156729918 168170058 182851571 204778506 235094877 238908257 307167759 365703142 470189754 477816514 548554713 614335518 716724771 1097109426 1279960997 1433449542 1645664139 1672357799 2150174313 2559921994 3291328278 3344715598 3839882991 4300348626 4675775887 5017073397 7679765982 9351551774 10034146794 11519648973 14027327661 15051220191 23039297946 28054655322 30102440382 32730431209 42081982983 65460862418 84163965966 98191293627 196382587254 229113018463 294573880881 458226036926 589147761762 687339055389 1374678110778 2062017166167 4124034332334