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149478034706641 = 31245728632
BaseRepresentation
bin100001111111001100010001…
…001010010001000011010001
3201121020221221020200120021101
4201333030101022101003101
5124043022003341103031
61245525132224224401
743325301022025614
oct4177142112210321
9647227836616241
10149478034706641
11436a0307786863
1214921a1746b101
136553944b2b544
1428caabdccc17b
151243400276361
hex87f3112910d1

149478034706641 has 27 divisors (see below), whose sum is σ = 154973742886683. Its totient is φ = 144172375011360.

The previous prime is 149478034706639. The next prime is 149478034706647. The reversal of 149478034706641 is 146607430874941.

The square root of 149478034706641 is 12226121.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 129277468500625 + 20200566206016 = 11370025^2 + 4494504^2 .

It is not a de Polignac number, because 149478034706641 - 21 = 149478034706639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (149478034706647) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 173207455776 + ... + 173207456638.

Almost surely, 2149478034706641 is an apocalyptic number.

149478034706641 is the 12226121-st square number.

149478034706641 is the 6113061-st centered octagonal number.

It is an amenable number.

149478034706641 is a deficient number, since it is larger than the sum of its proper divisors (5495708180042).

149478034706641 is an frugal number, since it uses more digits than its factorization.

149478034706641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 64.

The spelling of 149478034706641 in words is "one hundred forty-nine trillion, four hundred seventy-eight billion, thirty-four million, seven hundred six thousand, six hundred forty-one".

Divisors: 1 31 457 863 961 14167 26753 208849 394391 439177 744769 829343 6474319 12226121 23087839 180236687 200703889 340359433 379009751 715723009 5587337297 10551142423 155544260881 173207456207 327085415113 4821872087311 149478034706641