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1411712064 = 2634738903
BaseRepresentation
bin101010000100101…
…0000010001000000
310122101101101220000
41110021100101000
510342344241224
6352025520000
746661232420
oct12411202100
93571341800
101411712064
11664969194
12334943000
1319661c6a9
14d56c0480
1583e0a0c9
hex54250440

1411712064 has 140 divisors (see below), whose sum is σ = 4782702144. Its totient is φ = 403335936.

The previous prime is 1411712063. The next prime is 1411712077. The reversal of 1411712064 is 4602171141.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1411712063) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16837 + ... + 55739.

Almost surely, 21411712064 is an apocalyptic number.

1411712064 is a gapful number since it is divisible by the number (14) 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 1411712064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2391351072).

1411712064 is an abundant number, since it is smaller than the sum of its proper divisors (3370990080).

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

1411712064 is an equidigital number, since it uses as much as digits as its factorization.

1411712064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38934 (or 38915 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1411712064 is about 37572.7569390376. The cubic root of 1411712064 is about 1121.7998441896.

The spelling of 1411712064 in words is "one billion, four hundred eleven million, seven hundred twelve thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 3024 4032 4536 5184 6048 9072 12096 18144 36288 38903 77806 116709 155612 233418 272321 311224 350127 466836 544642 622448 700254 816963 933672 1050381 1089284 1244896 1400508 1633926 1867344 2100762 2178568 2450889 2489792 2801016 3151143 3267852 3734688 4201524 4357136 4901778 5602032 6302286 6535704 7352667 7469376 8403048 8714272 9803556 11204064 12604572 13071408 14705334 16806096 17428544 19607112 22058001 22408128 25209144 26142816 29410668 33612192 39214224 44116002 50418288 52285632 58821336 67224384 78428448 88232004 100836576 117642672 156856896 176464008 201673152 235285344 352928016 470570688 705856032 1411712064