Search a number
-
+
14257737394488 = 2333767140742097
BaseRepresentation
bin1100111101111010001101…
…0111110110100100111000
31212111000201020022011202000
43033132203113312210320
53332044321233110423
650153525241541000
73001042011144540
oct317364327664470
955430636264660
1014257737394488
1145a7744073935
1217232b34a4760
137c566401ba73
1437411470a320
1519ad2313d843
hexcf7a35f6938

14257737394488 has 128 divisors (see below), whose sum is σ = 45938220787200. Its totient is φ = 4012838641152.

The previous prime is 14257737394487. The next prime is 14257737394489. The reversal of 14257737394488 is 88449373775241.

14257737394488 is a `hidden beast` number, since 1 + 4 + 2 + 5 + 7 + 73 + 73 + 9 + 4 + 488 = 666.

It is an interprime number because it is at equal distance from previous prime (14257737394487) and next prime (14257737394489).

It is a super-2 number, since 2×142577373944882 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14257737394487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70269745 + ... + 70472352.

It is an arithmetic number, because the mean of its divisors is an integer number (358892349900).

Almost surely, 214257737394488 is an apocalyptic number.

14257737394488 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14257737394488 is an abundant number, since it is smaller than the sum of its proper divisors (31680483392712).

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

14257737394488 is a wasteful number, since it uses less digits than its factorization.

14257737394488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140742186 (or 140742176 counting only the distinct ones).

The product of its digits is 1137991680, while the sum is 72.

The spelling of 14257737394488 in words is "fourteen trillion, two hundred fifty-seven billion, seven hundred thirty-seven million, three hundred ninety-four thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 67 72 84 108 126 134 168 189 201 216 252 268 378 402 469 504 536 603 756 804 938 1206 1407 1512 1608 1809 1876 2412 2814 3618 3752 4221 4824 5628 7236 8442 11256 12663 14472 16884 25326 33768 50652 101304 140742097 281484194 422226291 562968388 844452582 985194679 1125936776 1266678873 1688905164 1970389358 2533357746 2955584037 3377810328 3800036619 3940778716 5066715492 5911168074 7600073238 7881557432 8866752111 9429720499 10133430984 11822336148 15200146476 17733504222 18859440998 23644672296 26600256333 28289161497 30400292952 35467008444 37718881996 53200512666 56578322994 66008043493 70934016888 75437763992 84867484491 106401025332 113156645988 132016086986 169734968982 198024130479 212802050664 226313291976 254602453473 264032173972 339469937964 396048260958 509204906946 528064347944 594072391437 678939875928 792096521916 1018409813892 1188144782874 1584193043832 1782217174311 2036819627784 2376289565748 3564434348622 4752579131496 7128868697244 14257737394488