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43134121056 = 25313276712491
BaseRepresentation
bin101000001010111111…
…100111010001100000
311010100002110101100010
4220022333213101200
51201314313333211
631452053524520
73054621656655
oct501277472140
9133302411303
1043134121056
11173250a5634
128439643740
1340b5496270
142132927c2c
1511c6c204a6
hexa0afe7460

43134121056 has 96 divisors (see below), whose sum is σ = 121990675968. Its totient is φ = 13266178560.

The previous prime is 43134121049. The next prime is 43134121057. The reversal of 43134121056 is 65012143134.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43134121057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3446971 + ... + 3459461.

It is an arithmetic number, because the mean of its divisors is an integer number (1270736208).

Almost surely, 243134121056 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 43134121056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60995337984).

43134121056 is an abundant number, since it is smaller than the sum of its proper divisors (78856554912).

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

43134121056 is a wasteful number, since it uses less digits than its factorization.

43134121056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15284 (or 15276 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 43134121056 in words is "forty-three billion, one hundred thirty-four million, one hundred twenty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2767 5534 8301 11068 12491 16602 22136 24982 33204 35971 37473 44272 49964 66408 71942 74946 88544 99928 107913 132816 143884 149892 162383 199856 215826 265632 287768 299784 324766 399712 431652 487149 575536 599568 649532 863304 974298 1151072 1199136 1299064 1726608 1948596 2598128 3453216 3897192 5196256 7794384 15588768 34562597 69125194 103687791 138250388 207375582 276500776 414751164 449313761 553001552 829502328 898627522 1106003104 1347941283 1659004656 1797255044 2695882566 3318009312 3594510088 5391765132 7189020176 10783530264 14378040352 21567060528 43134121056