Search a number
-
+
1497143149056 = 29322903111919
BaseRepresentation
bin10101110010010100101…
…011111000001000000000
312022010101110222001222100
4111302110223320020000
5144012122121232211
63103440021310400
7213110413540032
oct25622453701000
95263343861870
101497143149056
11527a31305a55
122021a6265400
13ab2455a2869
1452668087c52
1528e26680156
hex15c94af8200

1497143149056 has 120 divisors (see below), whose sum is σ = 4322383528320. Its totient is φ = 498871351296.

The previous prime is 1497143149043. The next prime is 1497143149069. The reversal of 1497143149056 is 6509413417941.

1497143149056 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 143 + 1 + 490 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1497143149043) and next prime (1497143149069).

It is a super-2 number, since 2×14971431490562 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1497143148993 and 1497143149011.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13321065 + ... + 13432983.

It is an arithmetic number, because the mean of its divisors is an integer number (36019862736).

Almost surely, 21497143149056 is an apocalyptic number.

1497143149056 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 1497143149056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161191764160).

1497143149056 is an abundant number, since it is smaller than the sum of its proper divisors (2825240379264).

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

1497143149056 is a wasteful number, since it uses less digits than its factorization.

1497143149056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114846 (or 114827 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1497143149056 in words is "one trillion, four hundred ninety-seven billion, one hundred forty-three million, one hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 2903 4608 5806 8709 11612 17418 23224 26127 34836 46448 52254 69672 92896 104508 111919 139344 185792 209016 223838 278688 335757 371584 418032 447676 557376 671514 743168 836064 895352 1007271 1114752 1343028 1486336 1672128 1790704 2014542 2229504 2686056 3344256 3581408 4029084 4459008 5372112 6688512 7162816 8058168 10744224 13377024 14325632 16116336 21488448 28651264 32232672 42976896 57302528 64465344 85953792 128930688 171907584 257861376 324900857 515722752 649801714 974702571 1299603428 1949405142 2599206856 2924107713 3898810284 5198413712 5848215426 7797620568 10396827424 11696430852 15595241136 20793654848 23392861704 31190482272 41587309696 46785723408 62380964544 83174619392 93571446816 124761929088 166349238784 187142893632 249523858176 374285787264 499047716352 748571574528 1497143149056