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1417447980 = 2232513679041
BaseRepresentation
bin101010001111100…
…1000101000101100
310122210011211002100
41110133020220230
510400331313410
6352352455100
750061052254
oct12437105054
93583154070
101417447980
11668126713
1233684a490
1319787a420
14d6374964
158468e8c0
hex547c8a2c

1417447980 has 144 divisors (see below), whose sum is σ = 4699959264. Its totient is φ = 343664640.

The previous prime is 1417447973. The next prime is 1417447991. The reversal of 1417447980 is 897447141.

It is a happy number.

1417447980 is a `hidden beast` number, since 1 + 4 + 174 + 479 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152260 + ... + 161300.

It is an arithmetic number, because the mean of its divisors is an integer number (32638606).

Almost surely, 21417447980 is an apocalyptic number.

1417447980 is a gapful number since it is divisible by the number (10) 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 1417447980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2349979632).

1417447980 is an abundant number, since it is smaller than the sum of its proper divisors (3282511284).

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

1417447980 is a wasteful number, since it uses less digits than its factorization.

1417447980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9136 (or 9131 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 1417447980 is about 37649.0103455589. The cubic root of 1417447980 is about 1123.3171164282.

The spelling of 1417447980 in words is "one billion, four hundred seventeen million, four hundred forty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 67 78 90 117 130 134 156 180 195 201 234 260 268 335 390 402 468 585 603 670 780 804 871 1005 1170 1206 1340 1742 2010 2340 2412 2613 3015 3484 4020 4355 5226 6030 7839 8710 9041 10452 12060 13065 15678 17420 18082 26130 27123 31356 36164 39195 45205 52260 54246 78390 81369 90410 108492 117533 135615 156780 162738 180820 235066 271230 325476 352599 406845 470132 542460 587665 605747 705198 813690 1057797 1175330 1211494 1410396 1627380 1762995 1817241 2115594 2350660 2422988 3028735 3525990 3634482 4231188 5288985 5451723 6057470 7051980 7268964 7874711 9086205 10577970 10903446 12114940 15749422 18172410 21155940 21806892 23624133 27258615 31498844 36344820 39373555 47248266 54517230 70872399 78747110 94496532 109034460 118120665 141744798 157494220 236241330 283489596 354361995 472482660 708723990 1417447980