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149434239916801 = 7267393111579137
BaseRepresentation
bin100001111110100011011110…
…110010011001101100000001
3201121002202220010001201202001
4201332203132302121230001
5124041312310404314201
61245453050410024001
743322160525325600
oct4176433662315401
9647082803051661
10149434239916801
1143683783765a74
1214915434718001
13654c785817208
1428c8927747a37
1512421da552301
hex87e8dec99b01

149434239916801 has 24 divisors (see below), whose sum is σ = 176471065307616. Its totient is φ = 126142644418560.

The previous prime is 149434239916789. The next prime is 149434239916811. The reversal of 149434239916801 is 108619932434941.

149434239916801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 149434239916801 - 29 = 149434239916289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149434239916811) 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, 7115905 + ... + 18695041.

It is an arithmetic number, because the mean of its divisors is an integer number (7352961054484).

Almost surely, 2149434239916801 is an apocalyptic number.

It is an amenable number.

149434239916801 is a deficient number, since it is larger than the sum of its proper divisors (27036825390815).

149434239916801 is a wasteful number, since it uses less digits than its factorization.

149434239916801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11583149 (or 11583142 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 64.

The spelling of 149434239916801 in words is "one hundred forty-nine trillion, four hundred thirty-four billion, two hundred thirty-nine million, nine hundred sixteen thousand, eight hundred one".

Divisors: 1 7 49 67 469 3283 3931 27517 192619 263377 1843639 11579137 12905473 81053959 567377713 775802179 5430615253 38014306771 45517587547 318623112829 2230361789803 3049678365649 21347748559543 149434239916801