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251040223324240 = 24572467137132491
BaseRepresentation
bin111001000101000111011011…
…010101011110100001010000
31012220212012200210111022221221
4321011013123111132201100
5230401020334132333430
62245530141514454424
7103610025521305600
oct7105073325364120
91186765623438857
10251040223324240
1172a97619509159
12241a533aa34414
13aa0ccb739275c
1445dc5a9776c00
151e051eb86257a
hexe451db55e850

251040223324240 has 120 divisors (see below), whose sum is σ = 680415222326112. Its totient is φ = 85886627016960.

The previous prime is 251040223324201. The next prime is 251040223324277. The reversal of 251040223324240 is 42423322040152.

It is a junction number, because it is equal to n+sod(n) for n = 251040223324196 and 251040223324205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66735606 + ... + 70396885.

Almost surely, 2251040223324240 is an apocalyptic number.

251040223324240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251040223324240 is an abundant number, since it is smaller than the sum of its proper divisors (429374999001872).

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

251040223324240 is a wasteful number, since it uses less digits than its factorization.

251040223324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137132985 (or 137132972 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 34.

Adding to 251040223324240 its reverse (42423322040152), we get a palindrome (293463545364392).

The spelling of 251040223324240 in words is "two hundred fifty-one trillion, forty billion, two hundred twenty-three million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 467 490 560 784 934 980 1868 1960 2335 3269 3736 3920 4670 6538 7472 9340 13076 16345 18680 22883 26152 32690 37360 45766 52304 65380 91532 114415 130760 183064 228830 261520 366128 457660 915320 1830640 137132491 274264982 548529964 685662455 959927437 1097059928 1371324910 1919854874 2194119856 2742649820 3839709748 4799637185 5485299640 6719492059 7679419496 9599274370 10970599280 13438984118 15358838992 19198548740 26877968236 33597460295 38397097480 53755936472 64040873297 67194920590 76794194960 107511872944 128081746594 134389841180 256163493188 268779682360 320204366485 448286113079 512326986376 537559364720 640408732970 896572226158 1024653972752 1280817465940 1793144452316 2241430565395 2561634931880 3138002791553 3586288904632 4482861130790 5123269863760 6276005583106 7172577809264 8965722261580 12552011166212 15690013957765 17931444523160 25104022332424 31380027915530 35862889046320 50208044664848 62760055831060 125520111662120 251040223324240