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14514041040 = 2435177348731
BaseRepresentation
bin11011000010001101…
…01011000011010000
31101110111201200022120
431201012223003100
5214211043303130
610400114134240
71022446212312
oct154106530320
941414650276
1014514041040
116178885944
122990881380
1314a3c6bc85
149b98857b2
1559e321910
hex3611ab0d0

14514041040 has 160 divisors (see below), whose sum is σ = 48293801856. Its totient is φ = 3592765440.

The previous prime is 14514041021. The next prime is 14514041051. The reversal of 14514041040 is 4014041541.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14514041040.

It is a congruent number.

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, 273475 + ... + 322205.

Almost surely, 214514041040 is an apocalyptic number.

14514041040 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 14514041040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24146900928).

14514041040 is an abundant number, since it is smaller than the sum of its proper divisors (33779760816).

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

14514041040 is a wasteful number, since it uses less digits than its factorization.

14514041040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48837 (or 48831 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

Adding to 14514041040 its reverse (4014041541), we get a palindrome (18528082581).

The spelling of 14514041040 in words is "fourteen billion, five hundred fourteen million, forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 73 80 85 102 120 136 146 170 204 219 240 255 272 292 340 365 408 438 510 584 680 730 816 876 1020 1095 1168 1241 1360 1460 1752 2040 2190 2482 2920 3504 3723 4080 4380 4964 5840 6205 7446 8760 9928 12410 14892 17520 18615 19856 24820 29784 37230 48731 49640 59568 74460 97462 99280 146193 148920 194924 243655 292386 297840 389848 487310 584772 730965 779696 828427 974620 1169544 1461930 1656854 1949240 2339088 2485281 2923860 3313708 3557363 3898480 4142135 4970562 5847720 6627416 7114726 8284270 9941124 10672089 11695440 12426405 13254832 14229452 16568540 17786815 19882248 21344178 24852810 28458904 33137080 35573630 39764496 42688356 49705620 53360445 56917808 60475171 66274160 71147260 85376712 99411240 106720890 120950342 142294520 170753424 181425513 198822480 213441780 241900684 284589040 302375855 362851026 426883560 483801368 604751710 725702052 853767120 907127565 967602736 1209503420 1451404104 1814255130 2419006840 2902808208 3628510260 4838013680 7257020520 14514041040