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4140648922112 = 210293120111491
BaseRepresentation
bin111100010000010001111…
…010000111110000000000
3112122211201221110020110122
4330100101322013300000
51020320022111001422
612450104324315412
7605103066056453
oct74202172076000
915584657406418
104140648922112
11135704840857a
1256a59ab42b68
132405ccc54bc1
141045a0c0b49a
1572a93b5ed42
hex3c411e87c00

4140648922112 has 88 divisors (see below), whose sum is σ = 8313143132112. Its totient is φ = 2061361152000.

The previous prime is 4140648922063. The next prime is 4140648922153. The reversal of 4140648922112 is 2112298460414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 360332687 + ... + 360344177.

Almost surely, 24140648922112 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 4140648922112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4156571566056).

4140648922112 is an abundant number, since it is smaller than the sum of its proper divisors (4172494210000).

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

4140648922112 is a wasteful number, since it uses less digits than its factorization.

4140648922112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13005 (or 12987 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The spelling of 4140648922112 in words is "four trillion, one hundred forty billion, six hundred forty-eight million, nine hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 256 293 512 586 1024 1172 1201 2344 2402 4688 4804 9376 9608 11491 18752 19216 22982 37504 38432 45964 75008 76864 91928 150016 153728 183856 300032 307456 351893 367712 614912 703786 735424 1229824 1407572 1470848 2815144 2941696 3366863 5630288 5883392 6733726 11260576 11766784 13467452 13800691 22521152 26934904 27601382 45042304 53869808 55202764 90084608 107739616 110405528 180169216 215479232 220811056 360338432 430958464 441622112 861916928 883244224 1723833856 1766488448 3447667712 3532976896 4043602463 7065953792 8087204926 14131907584 16174409852 32348819704 64697639408 129395278816 258790557632 517581115264 1035162230528 2070324461056 4140648922112