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1233240014104 = 237233743601813
BaseRepresentation
bin10001111100100010110…
…101010011110100011000
311100220012121122210010221
4101330202311103310120
5130201133420422404
62342313113245424
7155045560106110
oct21744265236430
94326177583127
101233240014104
1143601792372a
1217b015703874
138c3a8cbb6c7
1443990db6040
152212ceb8954
hex11f22d53d18

1233240014104 has 128 divisors (see below), whose sum is σ = 2897951063040. Its totient is φ = 480448184832.

The previous prime is 1233240014077. The next prime is 1233240014113. The reversal of 1233240014104 is 4014100423321.

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, 1748302 + ... + 2350114.

It is an arithmetic number, because the mean of its divisors is an integer number (22640242680).

Almost surely, 21233240014104 is an apocalyptic number.

1233240014104 is a gapful number since it is divisible by the number (14) 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 1233240014104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448975531520).

1233240014104 is an abundant number, since it is smaller than the sum of its proper divisors (1664711048936).

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

1233240014104 is a wasteful number, since it uses less digits than its factorization.

1233240014104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601929 (or 601925 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 1233240014104 its reverse (4014100423321), we get a palindrome (5247340437425).

The spelling of 1233240014104 in words is "one trillion, two hundred thirty-three billion, two hundred forty million, fourteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 23 28 37 43 46 56 74 86 92 148 161 172 184 259 296 301 322 344 518 602 644 851 989 1036 1204 1288 1591 1702 1978 2072 2408 3182 3404 3956 5957 6364 6808 6923 7912 11137 11914 12728 13846 22274 23828 27692 36593 44548 47656 55384 73186 89096 146372 256151 292744 512302 601813 1024604 1203626 2049208 2407252 4212691 4814504 8425382 13841699 16850764 22267081 25877959 27683398 33701528 44534162 51755918 55366796 89068324 96891893 103511836 110733592 155869567 178136648 181145713 193783786 207023672 311739134 362291426 387567572 512142863 595193057 623478268 724582852 775135144 957484483 1024285726 1190386114 1246956536 1449165704 1914968966 2048571452 2380772228 3585000041 3829937932 4097142904 4166351399 4761544456 6702391381 7170000082 7659875864 8332702798 13404782762 14340000164 16665405596 22022143109 26809565524 28680000328 33330811192 44044286218 53619131048 88088572436 154155001763 176177144872 308310003526 616620007052 1233240014104