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4145042567808 = 27335322629731
BaseRepresentation
bin111100010100010111110…
…010100011001010000000
3112200021002010212120022000
4330110113302203022000
51020403021344132213
612452112315344000
7605320006331232
oct74242762431200
915607063776260
104145042567808
1113589a251761a
1256b406452000
13240b502a185c
1410489a550252
1572c4e740c73
hex3c517ca3280

4145042567808 has 128 divisors (see below), whose sum is σ = 12464456385600. Its totient is φ = 1355611345920.

The previous prime is 4145042567779. The next prime is 4145042567819. The reversal of 4145042567808 is 8087652405414.

4145042567808 is a `hidden beast` number, since 4 + 1 + 4 + 504 + 2 + 56 + 7 + 80 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11131698 + ... + 11498033.

Almost surely, 24145042567808 is an apocalyptic number.

4145042567808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4145042567808 is an abundant number, since it is smaller than the sum of its proper divisors (8319413817792).

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

4145042567808 is a wasteful number, since it uses less digits than its factorization.

4145042567808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22629807 (or 22629789 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 4145042567808 in words is "four trillion, one hundred forty-five billion, forty-two million, five hundred sixty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 64 72 96 106 108 128 144 159 192 212 216 288 318 384 424 432 477 576 636 848 864 954 1152 1272 1431 1696 1728 1908 2544 2862 3392 3456 3816 5088 5724 6784 7632 10176 11448 15264 20352 22896 30528 45792 61056 91584 183168 22629731 45259462 67889193 90518924 135778386 181037848 203667579 271556772 362075696 407335158 543113544 611002737 724151392 814670316 1086227088 1199375743 1222005474 1448302784 1629340632 2172454176 2398751486 2444010948 2896605568 3258681264 3598127229 4344908352 4797502972 4888021896 6517362528 7196254458 8689816704 9595005944 9776043792 10794381687 13034725056 14392508916 19190011888 19552087584 21588763374 26069450112 28785017832 32383145061 38380023776 39104175168 43177526748 57570035664 64766290122 76760047552 78208350336 86355053496 115140071328 129532580244 153520095104 172710106992 230280142656 259065160488 345420213984 460560285312 518130320976 690840427968 1036260641952 1381680855936 2072521283904 4145042567808