Search a number
-
+
147225690001 = 13213714094513
BaseRepresentation
bin1000100100011101010…
…1011011111110010001
3112002000102002222000101
42021013111123332101
54403004234040001
6151345021252401
713431250500625
oct2110725337621
9462012088011
10147225690001
1157490077a75
1224649704101
1310b63878500
1471a9137185
153c6a26ba01
hex224755bf91

147225690001 has 24 divisors (see below), whose sum is σ = 160735143960. Its totient is φ = 134783041536.

The previous prime is 147225689953. The next prime is 147225690071. The reversal of 147225690001 is 100096522741.

It is a Cunningham number, because it is equal to 3837002+1.

It can be written as a sum of positive squares in 12 ways, for example, as 145350800001 + 1874890000 = 381249^2 + 43300^2 .

It is not a de Polignac number, because 147225690001 - 221 = 147223592849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (147225690071) 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, 32620321 + ... + 32624833.

It is an arithmetic number, because the mean of its divisors is an integer number (6697297665).

Almost surely, 2147225690001 is an apocalyptic number.

It is an amenable number.

147225690001 is a deficient number, since it is larger than the sum of its proper divisors (13509453959).

147225690001 is a wasteful number, since it uses less digits than its factorization.

147225690001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6085 (or 6072 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 147225690001 in words is "one hundred forty-seven billion, two hundred twenty-five million, six hundred ninety thousand, one".

Divisors: 1 13 137 169 1409 1781 4513 18317 23153 58669 193033 238121 618281 762697 2509429 6358817 8037653 32622577 82664621 104489489 871157929 1074640073 11325053077 147225690001