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351216136040 = 235711349326737
BaseRepresentation
bin1010001110001100001…
…11001110111101101000
31020120112212010022101112
411013012013032331220
521223242312323130
6425202500405452
734242314620250
oct5070607167550
91216485108345
10351216136040
11125a4a397360
12580996a6888
1327172822553
1412ddb1a2960
159208bca495
hex51c61cef68

351216136040 has 128 divisors (see below), whose sum is σ = 988055712000. Its totient is φ = 109155962880.

The previous prime is 351216136039. The next prime is 351216136057. The reversal of 351216136040 is 40631612153.

It is a junction number, because it is equal to n+sod(n) for n = 351216135988 and 351216136006.

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, 911552 + ... + 1238288.

It is an arithmetic number, because the mean of its divisors is an integer number (7719185250).

Almost surely, 2351216136040 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 351216136040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494027856000).

351216136040 is an abundant number, since it is smaller than the sum of its proper divisors (636839575960).

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

351216136040 is a wasteful number, since it uses less digits than its factorization.

351216136040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327115 (or 327111 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

Adding to 351216136040 its reverse (40631612153), we get a palindrome (391847748193).

The spelling of 351216136040 in words is "three hundred fifty-one billion, two hundred sixteen million, one hundred thirty-six thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 349 385 440 616 698 770 1396 1540 1745 2443 2792 3080 3490 3839 4886 6980 7678 9772 12215 13960 15356 19195 19544 24430 26873 30712 38390 48860 53746 76780 97720 107492 134365 153560 214984 268730 326737 537460 653474 1074920 1306948 1633685 2287159 2613896 3267370 3594107 4574318 6534740 7188214 9148636 11435795 13069480 14376428 17970535 18297272 22871590 25158749 28752856 35941070 45743180 50317498 71882140 91486360 100634996 114031213 125793745 143764280 201269992 228062426 251587490 456124852 503174980 570156065 798218491 912249704 1006349960 1140312130 1254343343 1596436982 2280624260 2508686686 3192873964 3991092455 4561248520 5017373372 6271716715 6385747928 7982184910 8780403401 10034746744 12543433430 15964369820 17560806802 25086866860 31928739640 35121613604 43902017005 50173733720 70243227208 87804034010 175608068020 351216136040