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14011051440 = 2435194317129
BaseRepresentation
bin11010000110001111…
…11010110110110000
31100011110021011022010
431003013322312300
5212143312121230
610234145242520
71004130654321
oct150307726660
940143234263
1014011051440
115a3a967361
122870333440
1314239ab1a9
1496cb52448
155700b79b0
hex3431fadb0

14011051440 has 160 divisors (see below), whose sum is σ = 45832780800. Its totient is φ = 3530926080.

The previous prime is 14011051429. The next prime is 14011051451. The reversal of 14011051440 is 4415011041.

It is an interprime number because it is at equal distance from previous prime (14011051429) and next prime (14011051451).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1961796 + ... + 1968924.

It is an arithmetic number, because the mean of its divisors is an integer number (286454880).

Almost surely, 214011051440 is an apocalyptic number.

14011051440 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 14011051440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22916390400).

14011051440 is an abundant number, since it is smaller than the sum of its proper divisors (31821729360).

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

14011051440 is a wasteful number, since it uses less digits than its factorization.

14011051440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7595 (or 7589 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 14011051440 its reverse (4415011041), we get a palindrome (18426062481).

The spelling of 14011051440 in words is "fourteen billion, eleven million, fifty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 431 456 570 760 862 912 1140 1293 1520 1724 2155 2280 2586 3448 4310 4560 5172 6465 6896 7129 8189 8620 10344 12930 14258 16378 17240 20688 21387 24567 25860 28516 32756 34480 35645 40945 42774 49134 51720 57032 65512 71290 81890 85548 98268 103440 106935 114064 122835 131024 135451 142580 163780 171096 196536 213870 245670 270902 285160 327560 342192 393072 406353 427740 491340 541804 570320 655120 677255 812706 855480 982680 1083608 1354510 1625412 1710960 1965360 2031765 2167216 2709020 3072599 3250824 4063530 5418040 6145198 6501648 8127060 9217797 10836080 12290396 15362995 16254120 18435594 24580792 30725990 32508240 36871188 46088985 49161584 58379381 61451980 73742376 92177970 116758762 122903960 147484752 175138143 184355940 233517524 245807920 291896905 350276286 368711880 467035048 583793810 700552572 737423760 875690715 934070096 1167587620 1401105144 1751381430 2335175240 2802210288 3502762860 4670350480 7005525720 14011051440