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148020074001 = 362293112851
BaseRepresentation
bin1000100111011010101…
…1110001011000010001
3112011001202212212000000
42021312223301120101
54411121114332001
6151555515520213
713460034604152
oct2116653613021
9464052785000
10148020074001
1157858522478
122482b759069
1310c5c313107
14724283d929
153cb4d84a86
hex2276af1611

148020074001 has 56 divisors (see below), whose sum is σ = 223692855360. Its totient is φ = 97898868000.

The previous prime is 148020073997. The next prime is 148020074057. The reversal of 148020074001 is 100470020841.

It is not a de Polignac number, because 148020074001 - 22 = 148020073997 is a prime.

It is a super-3 number, since 3×1480200740013 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (148020074101) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 51917226 + ... + 51920076.

Almost surely, 2148020074001 is an apocalyptic number.

It is an amenable number.

148020074001 is a deficient number, since it is larger than the sum of its proper divisors (75672781359).

148020074001 is an equidigital number, since it uses as much as digits as its factorization.

148020074001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3409 (or 3394 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

Adding to 148020074001 its reverse (100470020841), we get a palindrome (248490094842).

The spelling of 148020074001 in words is "one hundred forty-eight billion, twenty million, seventy-four thousand, one".

Divisors: 1 3 9 27 81 229 243 311 687 729 933 2061 2799 2851 6183 8397 8553 18549 25191 25659 55647 71219 75573 76977 166941 213657 226719 230931 640971 652879 692793 886661 1922913 1958637 2078379 2659983 5768739 5875911 7979949 17306217 17627733 23939847 51918651 52883199 71819541 158649597 203045369 215458623 475948791 609136107 646375869 1827408321 5482224963 16446674889 49340024667 148020074001