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1480422257325 = 335211272973061
BaseRepresentation
bin10101100010110000000…
…010101111001010101101
312020112020011122202122000
4111202300002233022231
5143223401044213300
63052032510442513
7211646146363404
oct25426002571255
95215204582560
101480422257325
11520930851570
121baaba503439
13a97ac373c9b
145191d4a063b
152879873bc00
hex158b00af2ad

1480422257325 has 96 divisors (see below), whose sum is σ = 2967953788800. Its totient is φ = 717507648000.

The previous prime is 1480422257291. The next prime is 1480422257333. The reversal of 1480422257325 is 5237522240841.

1480422257325 is a `hidden beast` number, since 14 + 8 + 0 + 42 + 2 + 2 + 573 + 25 = 666.

It is not a de Polignac number, because 1480422257325 - 26 = 1480422257261 is a prime.

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

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 20226295 + ... + 20299355.

It is an arithmetic number, because the mean of its divisors is an integer number (30916185300).

Almost surely, 21480422257325 is an apocalyptic number.

1480422257325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1480422257325 is an abundant number, since it is smaller than the sum of its proper divisors (1487531531475).

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

1480422257325 is a wasteful number, since it uses less digits than its factorization.

1480422257325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75820 (or 75809 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 1480422257325 in words is "one trillion, four hundred eighty billion, four hundred twenty-two million, two hundred fifty-seven thousand, three hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 825 1485 2475 2729 7425 8187 13645 24561 30019 40935 68225 73061 73683 90057 122805 150095 204675 219183 270171 365305 368415 450285 614025 657549 750475 803671 810513 1095915 1350855 1826525 1842075 1972647 2251425 2411013 3287745 4018355 4052565 5479575 6754275 7233039 9863235 12055065 16438725 20091775 20262825 21699117 36165195 49316175 60275325 108495585 180825975 199383469 542477925 598150407 996917345 1794451221 2193218159 2990752035 4984586725 5383353663 6579654477 8972256105 10966090795 14953760175 19738963431 26916768315 32898272385 44861280525 54830453975 59216890293 98694817155 134583841575 164491361925 296084451465 493474085775 1480422257325