Search a number
-
+
31344540040 = 23511238929819
BaseRepresentation
bin11101001100010001…
…111011100110001000
32222220110021121120101
4131030101323212020
51003143200240130
622222142135144
72156514123442
oct351421734610
988813247511
1031344540040
11123251a2950
1260a92814b4
132c56ac6218
141734c41492
15c36bb61ca
hex74c47b988

31344540040 has 64 divisors (see below), whose sum is σ = 76971384000. Its totient is φ = 11392861440.

The previous prime is 31344540023. The next prime is 31344540079. The reversal of 31344540040 is 4004544313.

It is a junction number, because it is equal to n+sod(n) for n = 31344539990 and 31344540008.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1036251 + ... + 1066069.

It is an arithmetic number, because the mean of its divisors is an integer number (1202677875).

Almost surely, 231344540040 is an apocalyptic number.

It is an amenable number.

31344540040 is an abundant number, since it is smaller than the sum of its proper divisors (45626843960).

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

31344540040 is a wasteful number, since it uses less digits than its factorization.

31344540040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32230 (or 32226 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The spelling of 31344540040 in words is "thirty-one billion, three hundred forty-four million, five hundred forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 2389 4778 9556 11945 19112 23890 26279 29819 47780 52558 59638 95560 105116 119276 131395 149095 210232 238552 262790 298190 328009 525580 596380 656018 1051160 1192760 1312036 1640045 2624072 3280090 6560180 13120360 71237591 142475182 284950364 356187955 569900728 712375910 783613501 1424751820 1567227002 2849503640 3134454004 3918067505 6268908008 7836135010 15672270020 31344540040