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514338043872 = 25315734125401
BaseRepresentation
bin1110111110000001110…
…11111011011111100000
31211011121002202210211110
413133000323323133200
531411331014400442
61032141133143320
752105530144462
oct7370073733740
91734532683743
10514338043872
11189147465034
128382292ab40
133966a7b7ac3
141ac73574132
15d5a478c69c
hex77c0efb7e0

514338043872 has 48 divisors (see below), whose sum is σ = 1358737006032. Its totient is φ = 170353996800.

The previous prime is 514338043853. The next prime is 514338043873. The reversal of 514338043872 is 278340833415.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (514338043873) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17047629 + ... + 17077772.

It is an arithmetic number, because the mean of its divisors is an integer number (28307020959).

Almost surely, 2514338043872 is an apocalyptic number.

It is an amenable number.

514338043872 is an abundant number, since it is smaller than the sum of its proper divisors (844398962160).

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

514338043872 is a wasteful number, since it uses less digits than its factorization.

514338043872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34125571 (or 34125563 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 514338043872 in words is "five hundred fourteen billion, three hundred thirty-eight million, forty-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 314 471 628 942 1256 1884 2512 3768 5024 7536 15072 34125401 68250802 102376203 136501604 204752406 273003208 409504812 546006416 819009624 1092012832 1638019248 3276038496 5357687957 10715375914 16073063871 21430751828 32146127742 42861503656 64292255484 85723007312 128584510968 171446014624 257169021936 514338043872