Search a number
-
+
431125215240 = 233547373320477
BaseRepresentation
bin1100100011000010001…
…00001011100000001000
31112012210212011010111110
412101201010023200020
524030421023341430
6530020045330320
743101453602526
oct6214104134010
91465725133443
10431125215240
11156925a43285
126b67ab669a0
1331868b72275
1416c1bc31316
15b3341d97b0
hex646110b808

431125215240 has 128 divisors (see below), whose sum is σ = 1321312642560. Its totient is φ = 112484987904.

The previous prime is 431125215139. The next prime is 431125215251. The reversal of 431125215240 is 42512521134.

431125215240 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 = 431125215198 and 431125215207.

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, 21043882 + ... + 21064358.

It is an arithmetic number, because the mean of its divisors is an integer number (10322755020).

Almost surely, 2431125215240 is an apocalyptic number.

431125215240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431125215240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660656321280).

431125215240 is an abundant number, since it is smaller than the sum of its proper divisors (890187427320).

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

431125215240 is a wasteful number, since it uses less digits than its factorization.

431125215240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24271 (or 24267 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 431125215240 its reverse (42512521134), we get a palindrome (473637736374).

The spelling of 431125215240 in words is "four hundred thirty-one billion, one hundred twenty-five million, two hundred fifteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 3733 5640 7466 11199 14932 18665 20477 22398 29864 37330 40954 44796 55995 61431 74660 81908 89592 102385 111990 122862 149320 163816 175451 204770 223980 245724 307155 350902 409540 447960 491448 526353 614310 701804 819080 877255 962419 1052706 1228620 1403608 1754510 1924838 2105412 2457240 2631765 2887257 3509020 3849676 4210824 4812095 5263530 5774514 7018040 7699352 9624190 10527060 11549028 14436285 19248380 21054120 23098056 28872570 38496760 57745140 76440641 115490280 152881282 229321923 305762564 382203205 458643846 611525128 764406410 917287692 1146609615 1528812820 1834575384 2293219230 3057625640 3592710127 4586438460 7185420254 9172876920 10778130381 14370840508 17963550635 21556260762 28741681016 35927101270 43112521524 53890651905 71854202540 86225043048 107781303810 143708405080 215562607620 431125215240