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40241434200 = 23352116097187
BaseRepresentation
bin100101011110100100…
…111000111001011000
310211212111100122221220
4211132210320321120
51124403301343300
630253041332040
72623135355412
oct453644707130
9124774318856
1040241434200
1116080271140
127970937020
133a440b6136
141d3a6979b2
1510a7cc7da0
hex95e938e58

40241434200 has 96 divisors (see below), whose sum is σ = 136089236160. Its totient is φ = 9755497600.

The previous prime is 40241434187. The next prime is 40241434241. The reversal of 40241434200 is 243414204.

It is a happy number.

40241434200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 3041994 + ... + 3055193.

It is an arithmetic number, because the mean of its divisors is an integer number (1417596210).

Almost surely, 240241434200 is an apocalyptic number.

40241434200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40241434200 is an abundant number, since it is smaller than the sum of its proper divisors (95847801960).

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

40241434200 is a wasteful number, since it uses less digits than its factorization.

40241434200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6097217 (or 6097208 counting only the distinct ones).

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

Adding to 40241434200 its reverse (243414204), we get a palindrome (40484848404).

The spelling of 40241434200 in words is "forty billion, two hundred forty-one million, four hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 6097187 12194374 18291561 24388748 30485935 36583122 48777496 60971870 67069057 73166244 91457805 121943740 134138114 146332488 152429675 182915610 201207171 243887480 268276228 304859350 335345285 365831220 402414342 457289025 536552456 609718700 670690570 731662440 804828684 914578050 1006035855 1219437400 1341381140 1609657368 1676726425 1829156100 2012071710 2682762280 3353452850 3658312200 4024143420 5030179275 6706905700 8048286840 10060358550 13413811400 20120717100 40241434200