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7145404875 = 34537181557
BaseRepresentation
bin1101010011110011…
…00011100111001011
3200102222100011210000
412221321203213023
5104113210424000
63141010454043
7342032640120
oct65171434713
920388304700
107145404875
113037438494
121474b94323
1389b48642b
144badaa747
152bc48c000
hex1a9e639cb

7145404875 has 160 divisors (see below), whose sum is σ = 15335768448. Its totient is φ = 3242592000.

The previous prime is 7145404867. The next prime is 7145404913. The reversal of 7145404875 is 5784045417.

It is not a de Polignac number, because 7145404875 - 23 = 7145404867 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 7145404875.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12828097 + ... + 12828653.

Almost surely, 27145404875 is an apocalyptic number.

7145404875 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7145404875 is an abundant number, since it is smaller than the sum of its proper divisors (8190363573).

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

7145404875 is a wasteful number, since it uses less digits than its factorization.

7145404875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 627200, while the sum is 45.

The square root of 7145404875 is about 84530.4967156824. The cubic root of 7145404875 is about 1926.0857314736.

The spelling of 7145404875 in words is "seven billion, one hundred forty-five million, four hundred four thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 125 135 175 181 189 225 315 375 405 525 543 557 567 675 875 905 945 1125 1267 1575 1629 1671 2025 2625 2715 2785 2835 3375 3801 3899 4525 4725 4887 5013 6335 7875 8145 8355 10125 11403 11697 13575 13925 14175 14661 15039 19005 19495 22625 23625 24435 25065 31675 34209 35091 40725 41775 45117 57015 58485 67875 69625 70875 73305 75195 95025 97475 100817 102627 105273 122175 125325 158375 171045 175455 203625 208875 225585 285075 292425 302451 315819 366525 375975 475125 487375 504085 513135 526365 610875 626625 705719 855225 877275 907353 1127925 1425375 1462125 1512255 1579095 1832625 1879875 2117157 2520425 2565675 2631825 2722059 3528595 4276125 4386375 4536765 5639625 6351471 7561275 7895475 8166177 10585785 12602125 12828375 13159125 13610295 17642975 19054413 22683825 31757355 37806375 39477375 40830885 52928925 57163239 68051475 88214875 95272065 113419125 158786775 204154425 264644625 285816195 340257375 476360325 793933875 1020772125 1429080975 2381801625 7145404875