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404460240340 = 225132203958687
BaseRepresentation
bin1011110001010111011…
…01010111110111010100
31102122222112022001111111
411320223231113313110
523111313310142330
6505450110344404
741135621214112
oct5705355276724
91378875261444
10404460240340
11146592296a42
1266478abb104
132c1a9703800
141580c6bcab2
15a7c328132a
hex5e2bb57dd4

404460240340 has 72 divisors (see below), whose sum is σ = 920194974720. Its totient is φ = 149263380864.

The previous prime is 404460240329. The next prime is 404460240341. The reversal of 404460240340 is 43042064404.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404460240341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6862477 + ... + 6921163.

It is an arithmetic number, because the mean of its divisors is an integer number (12780485760).

Almost surely, 2404460240340 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 404460240340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460097487360).

404460240340 is an abundant number, since it is smaller than the sum of its proper divisors (515734734380).

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

404460240340 is a wasteful number, since it uses less digits than its factorization.

404460240340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60761 (or 60746 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

The spelling of 404460240340 in words is "four hundred four billion, four hundred sixty million, two hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 2039 3380 4078 8156 10195 20390 26507 40780 53014 58687 106028 117374 132535 234748 265070 293435 344591 530140 586870 689182 762931 1173740 1378364 1525862 1722955 3051724 3445910 3814655 6891820 7629310 9918103 15258620 19836206 39672412 49590515 99181030 119662793 198362060 239325586 478651172 598313965 1196627930 1555616309 2393255860 3111232618 6222465236 7778081545 15556163090 20223012017 31112326180 40446024034 80892048068 101115060085 202230120170 404460240340