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14420004153552 = 24321011033959801
BaseRepresentation
bin1101000111010110101100…
…1110011010100011010000
31220001112112212211121121100
43101311223032122203100
53342224132030403202
650400243005424400
73015545100635004
oct321655316324320
956045485747540
1014420004153552
11465a542463698
12174a83a26b100
13807a53a9262a
1437bd092b8704
151a016dad341c
hexd1d6b39a8d0

14420004153552 has 120 divisors (see below), whose sum is σ = 40795044126408. Its totient is φ = 4754465280000.

The previous prime is 14420004153509. The next prime is 14420004153559. The reversal of 14420004153552 is 25535140002441.

14420004153552 is a `hidden beast` number, since 1 + 4 + 4 + 200 + 0 + 415 + 35 + 5 + 2 = 666.

14420004153552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 13318587487296 + 1101416666256 = 3649464^2 + 1049484^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14420004153559) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14544052 + ... + 15503852.

Almost surely, 214420004153552 is an apocalyptic number.

14420004153552 is a gapful number since it is divisible by the number (12) 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 14420004153552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20397522063204).

14420004153552 is an abundant number, since it is smaller than the sum of its proper divisors (26375039972856).

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

14420004153552 is a wasteful number, since it uses less digits than its factorization.

14420004153552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 960949 (or 960940 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 14420004153552 its reverse (25535140002441), we get a palindrome (39955144155993).

The spelling of 14420004153552 in words is "fourteen trillion, four hundred twenty billion, four million, one hundred fifty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1033 1212 1616 1818 2066 2424 3099 3636 4132 4848 6198 7272 8264 9297 12396 14544 16528 18594 24792 37188 49584 74376 104333 148752 208666 312999 417332 625998 834664 938997 959801 1251996 1669328 1877994 1919602 2503992 2879403 3755988 3839204 5007984 5758806 7511976 7678408 8638209 11517612 15023952 15356816 17276418 23035224 34552836 46070448 69105672 96939901 138211344 193879802 290819703 387759604 581639406 775519208 872459109 991474433 1163278812 1551038416 1744918218 1982948866 2326557624 2974423299 3489836436 3965897732 4653115248 5948846598 6979672872 7931795464 8923269897 11897693196 13959345744 15863590928 17846539794 23795386392 35693079588 47590772784 71386159176 100138917733 142772318352 200277835466 300416753199 400555670932 600833506398 801111341864 901250259597 1201667012796 1602222683728 1802500519194 2403334025592 3605001038388 4806668051184 7210002076776 14420004153552