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400039690420 = 22541733665557
BaseRepresentation
bin1011101001001000011…
…10010100000010110100
31102020120110020212000101
411310210032110002310
523023240130043140
6503435314523444
740621233156346
oct5644416240264
91366513225011
10400039690420
11144723a813a7
1265644596584
132b953926cb6
141550d575296
15a61513899a
hex5d243940b4

400039690420 has 48 divisors (see below), whose sum is σ = 861748525008. Its totient is φ = 155899837440.

The previous prime is 400039690387. The next prime is 400039690429. The reversal of 400039690420 is 24096930004.

It can be written as a sum of positive squares in 8 ways, for example, as 41628304 + 399998062116 = 6452^2 + 632454^2 .

It is a super-2 number, since 2×4000396904202 (a number of 24 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 400039690420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400039690429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 268282 + ... + 933838.

It is an arithmetic number, because the mean of its divisors is an integer number (17953094271).

Almost surely, 2400039690420 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 400039690420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430874262504).

400039690420 is an abundant number, since it is smaller than the sum of its proper divisors (461708834588).

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

400039690420 is a wasteful number, since it uses less digits than its factorization.

400039690420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666340 (or 666338 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 37.

The spelling of 400039690420 in words is "four hundred billion, thirty-nine million, six hundred ninety thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 733 820 1466 2932 3665 7330 14660 30053 60106 120212 150265 300530 601060 665557 1331114 2662228 3327785 6655570 13311140 27287837 54575674 109151348 136439185 272878370 487853281 545756740 975706562 1951413124 2439266405 4878532810 9757065620 20001984521 40003969042 80007938084 100009922605 200019845210 400039690420