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30454400400 = 2435225378667
BaseRepresentation
bin11100010111001110…
…010100010110010000
32220121102022211112120
4130113032110112100
5444332311303100
621553543254240
72125455063234
oct342716242620
986542284476
1030454400400
1111a08795856
125a9b14a380
132b44572988
14168c9305c4
15bd39860a0
hex717394590

30454400400 has 60 divisors (see below), whose sum is σ = 97555599792. Its totient is φ = 8121173120.

The previous prime is 30454400371. The next prime is 30454400413. The reversal of 30454400400 is 400445403.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12688134 + ... + 12690533.

Almost surely, 230454400400 is an apocalyptic number.

30454400400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30454400400 is an abundant number, since it is smaller than the sum of its proper divisors (67101199392).

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

30454400400 is a wasteful number, since it uses less digits than its factorization.

30454400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25378688 (or 25378677 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

Adding to 30454400400 its reverse (400445403), we get a palindrome (30854845803).

The spelling of 30454400400 in words is "thirty billion, four hundred fifty-four million, four hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 25378667 50757334 76136001 101514668 126893335 152272002 203029336 253786670 304544004 380680005 406058672 507573340 609088008 634466675 761360010 1015146680 1218176016 1268933350 1522720020 1903400025 2030293360 2537866700 3045440040 3806800050 5075733400 6090880080 7613600100 10151466800 15227200200 30454400400