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14415143540 = 22571716073769
BaseRepresentation
bin11010110110011010…
…11010001001110100
31101012121122011110012
431123031122021310
5214010234043130
610342222315352
71020135461360
oct153315321164
941177564405
1014415143540
116127a77776
122963728b58
131489623245
149aa6a02a0
155957d8995
hex35b35a274

14415143540 has 96 divisors (see below), whose sum is σ = 36663943680. Its totient is φ = 4647481344.

The previous prime is 14415143503. The next prime is 14415143551. The reversal of 14415143540 is 4534151441.

It is a junction number, because it is equal to n+sod(n) for n = 14415143497 and 14415143506.

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, 3822776 + ... + 3826544.

It is an arithmetic number, because the mean of its divisors is an integer number (381916080).

Almost surely, 214415143540 is an apocalyptic number.

14415143540 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 14415143540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18331971840).

14415143540 is an abundant number, since it is smaller than the sum of its proper divisors (22248800140).

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

14415143540 is a wasteful number, since it uses less digits than its factorization.

14415143540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5409 (or 5407 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 14415143540 its reverse (4534151441), we get a palindrome (18949294981).

The spelling of 14415143540 in words is "fourteen billion, four hundred fifteen million, one hundred forty-three thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 1607 2380 3214 3769 6428 7538 8035 11249 15076 16070 18845 22498 26383 27319 32140 37690 44996 52766 54638 56245 64073 75380 105532 109276 112490 128146 131915 136595 191233 224980 256292 263830 273190 320365 382466 448511 527660 546380 640730 764932 897022 956165 1281460 1794044 1912330 2242555 3824660 4485110 6056783 8970220 12113566 24227132 30283915 42397481 60567830 84794962 102965311 121135660 169589924 205930622 211987405 411861244 423974810 514826555 720757177 847949620 1029653110 1441514354 2059306220 2883028708 3603785885 7207571770 14415143540