Search a number
-
+
200402041424 = 24132383193507
BaseRepresentation
bin1011101010100011100…
…1000111101001010000
3201011021100210111122112
42322220321013221100
511240410410311144
6232021411124452
720323102150304
oct2725071075120
9634240714575
10200402041424
1177a98800942
1232a0a2a3728
1315b896c6a00
1499b1657d04
15532d8dc99e
hex2ea8e47a50

200402041424 has 60 divisors (see below), whose sum is σ = 421544019456. Its totient is φ = 92251276416.

The previous prime is 200402041423. The next prime is 200402041439. The reversal of 200402041424 is 424140204002.

It is a super-2 number, since 2×2004020414242 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 200402041424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200402041423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 938879 + ... + 1132385.

Almost surely, 2200402041424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200402041424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210772009728).

200402041424 is an abundant number, since it is smaller than the sum of its proper divisors (221141978032).

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

200402041424 is a wasteful number, since it uses less digits than its factorization.

200402041424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193924 (or 193905 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 23.

Adding to 200402041424 its reverse (424140204002), we get a palindrome (624542245426).

The spelling of 200402041424 in words is "two hundred billion, four hundred two million, forty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 383 676 766 1352 1532 2704 3064 4979 6128 9958 19916 39832 64727 79664 129454 193507 258908 387014 517816 774028 1035632 1548056 2515591 3096112 5031182 10062364 20124728 32702683 40249456 65405366 74113181 130810732 148226362 261621464 296452724 523242928 592905448 963471353 1185810896 1926942706 3853885412 7707770824 12525127589 15415541648 25050255178 50100510356 100201020712 200402041424