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4130861734296 = 233411252684187
BaseRepresentation
bin111100000111001010100…
…010111101100110011000
3112121220110212010120210000
4330013022202331212120
51020140001100444141
612441405223053000
7604305414253263
oct74071242754630
915556425116700
104130861734296
111352985837500
125687092a1160
1323c7003895cb
14103d13043cda
15726be7dc5b6
hex3c1ca8bd998

4130861734296 has 120 divisors (see below), whose sum is σ = 12717699562260. Its totient is φ = 1251776259360.

The previous prime is 4130861734283. The next prime is 4130861734361. The reversal of 4130861734296 is 6924371680314.

4130861734296 is a `hidden beast` number, since 4 + 1 + 308 + 6 + 17 + 34 + 296 = 666.

4130861734296 is digitally balanced in base 2, 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 26263686 + ... + 26420501.

Almost surely, 24130861734296 is an apocalyptic number.

It is an amenable number.

4130861734296 is an abundant number, since it is smaller than the sum of its proper divisors (8586837827964).

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

4130861734296 is a wasteful number, since it uses less digits than its factorization.

4130861734296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52684227 (or 52684203 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 4130861734296 in words is "four trillion, one hundred thirty billion, eight hundred sixty-one million, seven hundred thirty-four thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 121 132 162 198 216 242 264 297 324 363 396 484 594 648 726 792 891 968 1089 1188 1452 1782 2178 2376 2904 3267 3564 4356 6534 7128 8712 9801 13068 19602 26136 39204 78408 52684187 105368374 158052561 210736748 316105122 421473496 474157683 579526057 632210244 948315366 1159052114 1264420488 1422473049 1738578171 1896630732 2318104228 2844946098 3477156342 3793261464 4267419147 4636208456 5215734513 5689892196 6374786627 6954312684 8534838294 10431469026 11379784392 12749573254 13908625368 15647203539 17069676588 19124359881 20862938052 25499146508 31294407078 34139353176 38248719762 41725876104 46941610617 50998293016 57373079643 62588814156 76497439524 93883221234 114746159286 125177628312 152994879048 172119238929 187766442468 229492318572 344238477858 375532884936 458984637144 516357716787 688476955716 1032715433574 1376953911432 2065430867148 4130861734296