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1413050496 = 273111325733
BaseRepresentation
bin101010000111001…
…0111000010000000
310122110220101212120
41110032113002000
510343220103441
6352114324240
750005505514
oct12416270200
93573811776
101413050496
116656a2830
12335289680
1319699a970
14d594c144
15840c1966
hex54397080

1413050496 has 128 divisors (see below), whose sum is σ = 4409778240. Its totient is φ = 395243520.

The previous prime is 1413050473. The next prime is 1413050519. The reversal of 1413050496 is 6940503141.

It is an interprime number because it is at equal distance from previous prime (1413050473) and next prime (1413050519).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42046 + ... + 67778.

Almost surely, 21413050496 is an apocalyptic number.

1413050496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1413050496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2204889120).

1413050496 is an abundant number, since it is smaller than the sum of its proper divisors (2996727744).

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

1413050496 is a wasteful number, since it uses less digits than its factorization.

1413050496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25774 (or 25762 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 1413050496 is about 37590.5639223463. The cubic root of 1413050496 is about 1122.1542551190.

The spelling of 1413050496 in words is "one billion, four hundred thirteen million, fifty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 3432 4224 4576 4992 6864 9152 13728 18304 25733 27456 51466 54912 77199 102932 154398 205864 283063 308796 334529 411728 566126 617592 669058 823456 849189 1003587 1132252 1235184 1338116 1646912 1698378 2007174 2264504 2470368 2676232 3293824 3396756 3679819 4014348 4529008 4940736 5352464 6793512 7359638 8028696 9058016 9881472 10704928 11039457 13587024 14719276 16057392 18116032 21409856 22078914 27174048 29438552 32114784 36232064 42819712 44157828 54348096 58877104 64229568 88315656 108696192 117754208 128459136 176631312 235508416 353262624 471016832 706525248 1413050496