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1414066940 = 2251113273521
BaseRepresentation
bin101010001001000…
…1111001011111100
310122112211001011122
41110102033023330
510344000120230
6352152210112
750020241066
oct12422171374
93575731148
101414066940
11666227470
12335699938
13196c65500
14d5b34736
1584222be5
hex5448f2fc

1414066940 has 144 divisors (see below), whose sum is σ = 3562737696. Its totient is φ = 467251200.

The previous prime is 1414066937. The next prime is 1414066961. The reversal of 1414066940 is 496604141.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1414066940.

It is a congruent number.

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, 2713880 + ... + 2714400.

It is an arithmetic number, because the mean of its divisors is an integer number (24741234).

Almost surely, 21414066940 is an apocalyptic number.

1414066940 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 1414066940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781368848).

1414066940 is an abundant number, since it is smaller than the sum of its proper divisors (2148670756).

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

1414066940 is a wasteful number, since it uses less digits than its factorization.

1414066940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 1414066940 is about 37604.0814274196. The cubic root of 1414066940 is about 1122.4232555505.

The spelling of 1414066940 in words is "one billion, four hundred fourteen million, sixty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 73 110 130 143 146 169 220 260 286 292 338 365 521 572 676 715 730 803 845 949 1042 1430 1460 1606 1690 1859 1898 2084 2605 2860 3212 3380 3718 3796 4015 4745 5210 5731 6773 7436 8030 9295 9490 10420 10439 11462 12337 13546 16060 18590 18980 20878 22924 24674 27092 28655 33865 37180 38033 41756 49348 52195 57310 61685 67730 74503 76066 88049 104390 114620 123370 135460 135707 149006 152132 176098 190165 208780 246740 271414 298012 352196 372515 380330 418363 440245 494429 542828 678535 745030 760660 836726 880490 968539 988858 1357070 1490060 1673452 1760980 1937078 1977716 2091815 2472145 2714140 3874156 4183630 4842695 4944290 5438719 6427577 8367260 9685390 9888580 10877438 12855154 19370780 21754876 25710308 27193595 32137885 54387190 64275770 70703347 108774380 128551540 141406694 282813388 353516735 707033470 1414066940