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12042023440 = 2451728873067
BaseRepresentation
bin10110011011100001…
…01011001000010000
31011002020012011200011
423031300223020100
5144130224222230
65310530204304
7604261340026
oct131560531020
934066164604
1012042023440
11511a454497
122400a23694
13119ba89375
1482343a716
154a72c1e2a
hex2cdc2b210

12042023440 has 80 divisors (see below), whose sum is σ = 29664565632. Its totient is φ = 4530419712.

The previous prime is 12042023429. The next prime is 12042023467. The reversal of 12042023440 is 4432024021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×120420234403 (a number of 31 digits) contains 333 as substring.

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, 3924787 + ... + 3927853.

Almost surely, 212042023440 is an apocalyptic number.

12042023440 is a gapful number since it is divisible by the number (10) 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 12042023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14832282816).

12042023440 is an abundant number, since it is smaller than the sum of its proper divisors (17622542192).

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

12042023440 is a wasteful number, since it uses less digits than its factorization.

12042023440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5984 (or 5978 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 12042023440 its reverse (4432024021), we get a palindrome (16474047461).

The spelling of 12042023440 in words is "twelve billion, forty-two million, twenty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 2887 3067 5774 6134 11548 12268 14435 15335 23096 24536 28870 30670 46192 49072 49079 52139 57740 61340 98158 104278 115480 122680 196316 208556 230960 245360 245395 260695 392632 417112 490790 521390 785264 834224 981580 1042780 1963160 2085560 3926320 4171120 8854429 17708858 35417716 44272145 70835432 88544290 141670864 150525293 177088580 301050586 354177160 602101172 708354320 752626465 1204202344 1505252930 2408404688 3010505860 6021011720 12042023440