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31048066440 = 23325194539191
BaseRepresentation
bin11100111010100110…
…111110010110001000
32222010210102012020200
4130322212332112020
51002041301111230
622132511452200
72146254132066
oct347246762610
988123365220
1031048066440
1112192907946
126025b27060
132c0a561561
141707709036
15c1ab52160
hex73a9be588

31048066440 has 96 divisors (see below), whose sum is σ = 106217092800. Its totient is φ = 7843720320.

The previous prime is 31048066403. The next prime is 31048066453. The reversal of 31048066440 is 4466084013.

31048066440 is a `hidden beast` number, since 3 + 1 + 0 + 4 + 8 + 0 + 6 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 31048066395 and 31048066404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2262756 + ... + 2276435.

It is an arithmetic number, because the mean of its divisors is an integer number (1106428050).

Almost surely, 231048066440 is an apocalyptic number.

31048066440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31048066440 is an abundant number, since it is smaller than the sum of its proper divisors (75169026360).

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

31048066440 is a wasteful number, since it uses less digits than its factorization.

31048066440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4539227 (or 4539220 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 31048066440 in words is "thirty-one billion, forty-eight million, sixty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 570 684 760 855 1140 1368 1710 2280 3420 6840 4539191 9078382 13617573 18156764 22695955 27235146 36313528 40852719 45391910 54470292 68087865 81705438 86244629 90783820 108940584 136175730 163410876 172489258 181567640 204263595 258733887 272351460 326821752 344978516 408527190 431223145 517467774 544702920 689957032 776201661 817054380 862446290 1034935548 1293669435 1552403322 1634108760 1724892580 2069871096 2587338870 3104806644 3449785160 3881008305 5174677740 6209613288 7762016610 10349355480 15524033220 31048066440