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421001221344 = 253112317333713
BaseRepresentation
bin1100010000001011010…
…00001101010011100000
31111020200022001221201120
412020011220031103200
523344202303040334
6521223313132240
742262542223404
oct6100550152340
91436608057646
10421001221344
11152600239880
126971455a080
1330914590032
141653b433104
15ae404d7949
hex6205a0d4e0

421001221344 has 96 divisors (see below), whose sum is σ = 1258011627264. Its totient is φ = 122029332480.

The previous prime is 421001221343. The next prime is 421001221351. The reversal of 421001221344 is 443122100124.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421001221343) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8642569 + ... + 8691144.

It is an arithmetic number, because the mean of its divisors is an integer number (13104287784).

Almost surely, 2421001221344 is an apocalyptic number.

421001221344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

421001221344 is an abundant number, since it is smaller than the sum of its proper divisors (837010405920).

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

421001221344 is a wasteful number, since it uses less digits than its factorization.

421001221344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17333760 (or 17333752 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 421001221344 its reverse (443122100124), we get a palindrome (864123321468).

The spelling of 421001221344 in words is "four hundred twenty-one billion, one million, two hundred twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 66 69 88 92 96 132 138 176 184 253 264 276 352 368 506 528 552 736 759 1012 1056 1104 1518 2024 2208 3036 4048 6072 8096 12144 24288 17333713 34667426 52001139 69334852 104002278 138669704 190670843 208004556 277339408 381341686 398675399 416009112 554678816 572012529 762683372 797350798 832018224 1144025058 1196026197 1525366744 1594701596 1664036448 2288050116 2392052394 3050733488 3189403192 4385429389 4576100232 4784104788 6101466976 6378806384 8770858778 9152200464 9568209576 12757612768 13156288167 17541717556 18304400928 19136419152 26312576334 35083435112 38272838304 52625152668 70166870224 105250305336 140333740448 210500610672 421001221344