Search a number
-
+
1416356525740 = 2251343917477103
BaseRepresentation
bin10100100111000101011…
…011010111011010101100
312000101212022200101122111
4110213011123113122230
5141201144232310430
63002355403453404
7204220430554012
oct24470533273254
95011768611574
101416356525740
114a6745375162
121aa5bab27264
13a373c4bc680
144c7a2a668b2
1526c990ccc2a
hex149c56d76ac

1416356525740 has 96 divisors (see below), whose sum is σ = 3212731146240. Its totient is φ = 521399068416.

The previous prime is 1416356525711. The next prime is 1416356525747. The reversal of 1416356525740 is 475256536141.

It is not an unprimeable number, because it can be changed into a prime (1416356525747) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199399029 + ... + 199406131.

It is an arithmetic number, because the mean of its divisors is an integer number (33465949440).

Almost surely, 21416356525740 is an apocalyptic number.

1416356525740 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 1416356525740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606365573120).

1416356525740 is an abundant number, since it is smaller than the sum of its proper divisors (1796374620500).

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

1416356525740 is a wasteful number, since it uses less digits than its factorization.

1416356525740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9311 (or 9309 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 49.

The spelling of 1416356525740 in words is "one trillion, four hundred sixteen billion, three hundred fifty-six million, five hundred twenty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 439 878 1747 1756 2195 3494 4390 5707 6988 7103 8735 8780 11414 14206 17470 22711 22828 28412 28535 34940 35515 45422 57070 71030 90844 92339 113555 114140 142060 184678 227110 369356 454220 461695 766933 923390 1533866 1846780 3067732 3118217 3834665 6236434 7669330 9970129 12408941 12472868 15338660 15591085 19940258 24817882 31182170 39880516 40536821 49635764 49850645 62044705 62364340 81073642 99701290 124089410 161316233 162147284 199402580 202684105 248178820 322632466 405368210 645264932 806581165 810736420 1613162330 3226324660 5447525099 10895050198 21790100396 27237625495 54475250990 70817826287 108950501980 141635652574 283271305148 354089131435 708178262870 1416356525740