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424200241431032 = 231117735237427023
BaseRepresentation
bin110000001110011101101000…
…0101101000100000111111000
32001121222010222011222222100012
41200130323100231010013320
5421100044043301243112
64102110522312001052
7155231312301030053
oct14034732055040770
92047863864888305
10424200241431032
11113188348457180
123b6b0a22690188
1315290bac97b681
1476a7588db1a9a
15340964d6d4022
hex181ced0b441f8

424200241431032 has 128 divisors (see below), whose sum is σ = 933088515701760. Its totient is φ = 178647804702720.

The previous prime is 424200241430737. The next prime is 424200241431089. The reversal of 424200241431032 is 230134142002424.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 424200241431032.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53402273 + ... + 60829295.

It is an arithmetic number, because the mean of its divisors is an integer number (7289754028920).

Almost surely, 2424200241431032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424200241431032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466544257850880).

424200241431032 is an abundant number, since it is smaller than the sum of its proper divisors (508888274270728).

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

424200241431032 is a wasteful number, since it uses less digits than its factorization.

424200241431032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7427653 (or 7427649 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 424200241431032 its reverse (230134142002424), we get a palindrome (654334383433456).

The spelling of 424200241431032 in words is "four hundred twenty-four trillion, two hundred billion, two hundred forty-one million, four hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 17 22 34 44 68 73 88 136 146 187 292 374 523 584 748 803 1046 1241 1496 1606 2092 2482 3212 4184 4964 5753 6424 8891 9928 11506 13651 17782 23012 27302 35564 38179 46024 54604 71128 76358 97801 109208 152716 195602 305432 391204 419969 649043 782408 839938 1298086 1679876 2596172 3359752 5192344 7139473 7427023 14278946 14854046 28557892 29708092 57115784 59416184 81697253 126259391 163394506 252518782 326789012 505037564 542172679 653578024 1010075128 1084345358 1388853301 2168690716 2777706602 3884333029 4337381432 5555413204 5963899469 7768666058 9216935543 11110826408 11927798938 15537332116 18433871086 23855597876 31074664232 36867742172 42727663319 47711195752 66033661493 73735484344 85455326638 101386290973 132067322986 170910653276 202772581946 264134645972 283556311117 341821306552 405545163892 528269291944 567112622234 726370276423 811090327784 1134225244468 1452740552846 2268450488936 2905481105692 3119119422287 4820457288989 5810962211384 6238238844574 9640914577978 12476477689148 19281829155956 24952955378296 38563658311912 53025030178879 106050060357758 212100120715516 424200241431032