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4124043231440 = 24511172293120223
BaseRepresentation
bin111100000000110100001…
…000011100000011010000
3112121020212122220202021012
4330000310020130003100
51020032020031401230
612434320450550052
7603644431036226
oct74006410340320
915536778822235
104124043231440
11134aaa6988380
12567325898328
1323bb8485cb32
14103867650b16
1572420dc5395
hex3c03421c0d0

4124043231440 has 160 divisors (see below), whose sum is σ = 11080293958656. Its totient is φ = 1410809978880.

The previous prime is 4124043231433. The next prime is 4124043231487. The reversal of 4124043231440 is 441323404214.

It is a junction number, because it is equal to n+sod(n) for n = 4124043231397 and 4124043231406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34243169 + ... + 34363391.

Almost surely, 24124043231440 is an apocalyptic number.

4124043231440 is a gapful number since it is divisible by the number (40) 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 4124043231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5540146979328).

4124043231440 is an abundant number, since it is smaller than the sum of its proper divisors (6956250727216).

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

4124043231440 is a wasteful number, since it uses less digits than its factorization.

4124043231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122557 (or 122551 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 4124043231440 its reverse (441323404214), we get a palindrome (4565366635654).

The spelling of 4124043231440 in words is "four trillion, one hundred twenty-four billion, forty-three million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 80 85 88 110 136 170 176 187 220 272 340 374 440 680 748 880 935 1360 1496 1870 2293 2992 3740 4586 7480 9172 11465 14960 18344 22930 25223 36688 38981 45860 50446 77962 91720 100892 120223 126115 155924 183440 194905 201784 240446 252230 311848 389810 403568 428791 480892 504460 601115 623696 779620 857582 961784 1008920 1202230 1322453 1559240 1715164 1923568 2017840 2043791 2143955 2404460 2644906 3118480 3430328 4087582 4287910 4808920 5289812 6612265 6860656 8175164 8575820 9617840 10218955 10579624 13224530 16350328 17151640 20437910 21159248 22481701 26449060 32700656 34303280 40875820 44963402 52898120 81751640 89926804 105796240 112408505 163503280 179853608 224817010 275671339 359707216 449634020 551342678 899268040 1102685356 1378356695 1798536080 2205370712 2756713390 3032384729 4410741424 4686412763 5513426780 6064769458 9372825526 11026853560 12129538916 15161923645 18745651052 22053707120 23432063815 24259077832 30323847290 37491302104 46864127630 48518155664 51550540393 60647694580 74982604208 93728255260 103101080786 121295389160 187456510520 206202161572 242590778320 257752701965 374913021040 412404323144 515505403930 824808646288 1031010807860 2062021615720 4124043231440