Search a number
-
+
400402301040 = 243257621112791
BaseRepresentation
bin1011101001110011101…
…01100100000001110000
31102021111201120101021100
411310321311210001300
523030010442113130
6503535310524400
740633225255230
oct5647165440160
91367451511240
10400402301040
1114489a72a0a5
1265725b06700
132b9b0aa70b1
14155457a5cc0
15a636db3c60
hex5d39d64070

400402301040 has 240 divisors, whose sum is σ = 1537149758976. Its totient is φ = 91498636800.

The previous prime is 400402300973. The next prime is 400402301063. The reversal of 400402301040 is 40103204004.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31297045 + ... + 31309835.

Almost surely, 2400402301040 is an apocalyptic number.

400402301040 is a gapful number since it is divisible by the number (40) 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 400402301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768574879488).

400402301040 is an abundant number, since it is smaller than the sum of its proper divisors (1136747457936).

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

400402301040 is a wasteful number, since it uses less digits than its factorization.

400402301040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19028 (or 19019 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 400402301040 its reverse (40103204004), we get a palindrome (440505505044).

The spelling of 400402301040 in words is "four hundred billion, four hundred two million, three hundred one thousand, forty".