Search a number
-
+
14136231266432 = 271124907403097
BaseRepresentation
bin1100110110110101100100…
…0010110000100010000000
31212001102002021002022221222
43031231121002300202000
53323102000201011212
650022032303534212
72656210663122332
oct315553102604200
955042067068858
1014136231266432
114560162023490
1217038432ba368
137b706baa8082
1436c2a9347452
15197ab0d2cc72
hexcdb590b0880

14136231266432 has 64 divisors (see below), whose sum is σ = 30723516851040. Its totient is φ = 6425285744640.

The previous prime is 14136231266429. The next prime is 14136231266447. The reversal of 14136231266432 is 23466213263141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34867508 + ... + 35270604.

Almost surely, 214136231266432 is an apocalyptic number.

It is an amenable number.

14136231266432 is an abundant number, since it is smaller than the sum of its proper divisors (16587285584608).

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

14136231266432 is a wasteful number, since it uses less digits than its factorization.

14136231266432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428029 (or 428017 counting only the distinct ones).

The product of its digits is 746496, while the sum is 44.

The spelling of 14136231266432 in words is "fourteen trillion, one hundred thirty-six billion, two hundred thirty-one million, two hundred sixty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 24907 49814 99628 199256 273977 398512 403097 547954 797024 806194 1095908 1594048 1612388 2191816 3188096 3224776 4383632 4434067 6449552 8767264 8868134 12899104 17534528 17736268 25798208 35069056 35472536 51596416 70945072 141890144 283780288 567560576 10039936979 20079873958 40159747916 80319495832 110439306769 160638991664 220878613538 321277983328 441757227076 642555966656 883514454152 1285111933312 1767028908304 3534057816608 7068115633216 14136231266432