Search a number
-
+
31664322140 = 225114110134757
BaseRepresentation
bin11101011111010101…
…110011011001011100
310000201202000020010212
4131133111303121130
51004322031302030
622314004151552
72200446203663
oct353725633134
9100652006125
1031664322140
1112479758980
1261783985b8
132ca812c1b9
1417654c3dda
15c54cd1595
hex75f57365c

31664322140 has 96 divisors (see below), whose sum is σ = 75047249088. Its totient is φ = 11121920000.

The previous prime is 31664322139. The next prime is 31664322223. The reversal of 31664322140 is 4122346613.

It is a junction number, because it is equal to n+sod(n) for n = 31664322097 and 31664322106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 893642 + ... + 928398.

It is an arithmetic number, because the mean of its divisors is an integer number (781742178).

Almost surely, 231664322140 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 31664322140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37523624544).

31664322140 is an abundant number, since it is smaller than the sum of its proper divisors (43382926948).

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

31664322140 is a wasteful number, since it uses less digits than its factorization.

31664322140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34919 (or 34917 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 31664322140 its reverse (4122346613), we get a palindrome (35786668753).

The spelling of 31664322140 in words is "thirty-one billion, six hundred sixty-four million, three hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 101 110 164 202 205 220 404 410 451 505 820 902 1010 1111 1804 2020 2222 2255 4141 4444 4510 5555 8282 9020 11110 16564 20705 22220 34757 41410 45551 69514 82820 91102 139028 173785 182204 227755 347570 382327 455510 695140 764654 911020 1425037 1529308 1911635 2850074 3510457 3823270 5700148 7020914 7125185 7646540 14041828 14250370 15675407 17552285 28500740 31350814 35104570 38615027 62701628 70209140 77230054 78377035 143928737 154460108 156754070 193075135 287857474 313508140 386150270 575714948 719643685 772300540 1439287370 1583216107 2878574740 3166432214 6332864428 7916080535 15832161070 31664322140