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42400233304 = 231113193192037
BaseRepresentation
bin100111011111010000…
…000011011101011000
311001102221112000121021
4213133100003131120
51143313424431204
631251200052224
73030501015352
oct473720033530
9131387460537
1042400233304
1116a8890a930
128273904074
133cc9420460
1420a328c0d2
1511825a7154
hex9df403758

42400233304 has 64 divisors (see below), whose sum is σ = 93883537440. Its totient is φ = 17698037760.

The previous prime is 42400233299. The next prime is 42400233329. The reversal of 42400233304 is 40333200424.

42400233304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124774 + ... + 316810.

Almost surely, 242400233304 is an apocalyptic number.

42400233304 is a gapful number since it is divisible by the number (44) 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 42400233304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46941768720).

42400233304 is an abundant number, since it is smaller than the sum of its proper divisors (51483304136).

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

42400233304 is a wasteful number, since it uses less digits than its factorization.

42400233304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192260 (or 192256 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 42400233304 its reverse (40333200424), we get a palindrome (82733433728).

The spelling of 42400233304 in words is "forty-two billion, four hundred million, two hundred thirty-three thousand, three hundred four".

Divisors: 1 2 4 8 11 13 22 26 44 52 88 104 143 193 286 386 572 772 1144 1544 2123 2509 4246 5018 8492 10036 16984 20072 27599 55198 110396 192037 220792 384074 768148 1536296 2112407 2496481 4224814 4992962 8449628 9985924 16899256 19971848 27461291 37063141 54922582 74126282 109845164 148252564 219690328 296505128 407694551 481820833 815389102 963641666 1630778204 1927283332 3261556408 3854566664 5300029163 10600058326 21200116652 42400233304