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403040004221400 = 2335272134125720157
BaseRepresentation
bin101101110100100000001000…
…0010010000010100111011000
31221212001020200212112101202120
41123221000100102002213120
5410311401412040041100
63545110004415501240
7150615452012311500
oct13351002022024730
91855036625471676
10403040004221400
1110746a340173a77
1239253a29b27820
13143b7680c7a780
1471753514caa00
15318dede8e00a0
hex16e90104829d8

403040004221400 has 576 divisors, whose sum is σ = 1603388476882080. Its totient is φ = 82962935193600.

The previous prime is 403040004221381. The next prime is 403040004221411. The reversal of 403040004221400 is 4122400040304.

It is a happy number.

It is a super-2 number, since 2×4030400042214002 (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2810122 + ... + 28530278.

Almost surely, 2403040004221400 is an apocalyptic number.

403040004221400 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 403040004221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801694238441040).

403040004221400 is an abundant number, since it is smaller than the sum of its proper divisors (1200348472660680).

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

403040004221400 is a wasteful number, since it uses less digits than its factorization.

403040004221400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25720244 (or 25720228 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 403040004221400 its reverse (4122400040304), we get a palindrome (407162404261704).

The spelling of 403040004221400 in words is "four hundred three trillion, forty billion, four million, two hundred twenty-one thousand, four hundred".