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51343442040 = 233511386310069
BaseRepresentation
bin101111110100010011…
…101100000001111000
311220112012202002122110
4233310103230001320
51320122410121130
635330432052320
73465224025252
oct576423540170
9156465662573
1051343442040
111a858041a30
129b4a9940a0
134ac31a8147
1426b0d1ccd2
1515077b6ab0
hexbf44ec078

51343442040 has 128 divisors (see below), whose sum is σ = 168093273600. Its totient is φ = 12442437120.

The previous prime is 51343442039. The next prime is 51343442047. The reversal of 51343442040 is 4024434315.

51343442040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×513434420402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 51343441989 and 51343442007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51343442047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5094126 + ... + 5104194.

It is an arithmetic number, because the mean of its divisors is an integer number (1313228700).

Almost surely, 251343442040 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 51343442040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84046636800).

51343442040 is an abundant number, since it is smaller than the sum of its proper divisors (116749831560).

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

51343442040 is a wasteful number, since it uses less digits than its factorization.

51343442040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13957 (or 13953 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 51343442040 its reverse (4024434315), we get a palindrome (55367876355).

The spelling of 51343442040 in words is "fifty-one billion, three hundred forty-three million, four hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 3863 7726 10069 11589 15452 19315 20138 23178 30207 30904 38630 40276 42493 46356 50345 57945 60414 77260 80552 84986 92712 100690 110759 115890 120828 127479 151035 154520 169972 201380 212465 221518 231780 241656 254958 302070 332277 339944 402760 424930 443036 463560 509916 553795 604140 637395 664554 849860 886072 1019832 1107590 1208280 1274790 1329108 1661385 1699720 2215180 2549580 2658216 3322770 4430360 5099160 6645540 13291080 38896547 77793094 116689641 155586188 194482735 233379282 311172376 388965470 427862017 466758564 583448205 777930940 855724034 933517128 1166896410 1283586051 1555861880 1711448068 2139310085 2333792820 2567172102 3422896136 4278620170 4667585640 5134344204 6417930255 8557240340 10268688408 12835860510 17114480680 25671721020 51343442040