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40048284384 = 253441376847
BaseRepresentation
bin100101010011000100…
…000101001011100000
310211101000220122020000
4211103010011023200
51124004330100014
630221541420000
72615301541413
oct452304051340
9124330818200
1040048284384
1115a91237899
12791810a600
133a13089ac4
141d1cb79b7a
151095d73509
hex9531052e0

40048284384 has 120 divisors (see below), whose sum is σ = 120653916768. Its totient is φ = 13023797760.

The previous prime is 40048284373. The next prime is 40048284391. The reversal of 40048284384 is 48348284004.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 82152 + ... + 294695.

Almost surely, 240048284384 is an apocalyptic number.

It is an amenable number.

40048284384 is an abundant number, since it is smaller than the sum of its proper divisors (80605632384).

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

40048284384 is a wasteful number, since it uses less digits than its factorization.

40048284384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376910 (or 376893 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 40048284384 in words is "forty billion, forty-eight million, two hundred eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 72 81 82 96 108 123 144 162 164 216 246 288 324 328 369 432 492 648 656 738 864 984 1107 1296 1312 1476 1968 2214 2592 2952 3321 3936 4428 5904 6642 8856 11808 13284 17712 26568 35424 53136 106272 376847 753694 1130541 1507388 2261082 3014776 3391623 4522164 6029552 6783246 9044328 10174869 12059104 13566492 15450727 18088656 20349738 27132984 30524607 30901454 36177312 40699476 46352181 54265968 61049214 61802908 81398952 92704362 108531936 122098428 123605816 139056543 162797904 185408724 244196856 247211632 278113086 325595808 370817448 417169629 488393712 494423264 556226172 741634896 834339258 976787424 1112452344 1251508887 1483269792 1668678516 2224904688 2503017774 3337357032 4449809376 5006035548 6674714064 10012071096 13349428128 20024142192 40048284384