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149145541941 = 311173747152879
BaseRepresentation
bin1000101011100111000…
…1000101110100110101
3112020222012122112202210
42022321301011310311
54420422224320231
6152303322324033
713526652121614
oct2127161056465
9466865575683
10149145541941
1158285852170
1224aa4659619
13110ab53cc86
14730c0cb87b
153d2da9ba46
hex22b9c45d35

149145541941 has 64 divisors (see below), whose sum is σ = 240929095680. Its totient is φ = 81013109760.

The previous prime is 149145541901. The next prime is 149145541957.

It is a happy number.

149145541941 is nontrivially palindromic in base 10.

149145541941 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 149145541941 - 27 = 149145541813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149145541901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 899140 + ... + 1052018.

It is an arithmetic number, because the mean of its divisors is an integer number (3764517120).

Almost surely, 2149145541941 is an apocalyptic number.

149145541941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

149145541941 is a deficient number, since it is larger than the sum of its proper divisors (91783553739).

149145541941 is a wasteful number, since it uses less digits than its factorization.

149145541941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152994.

The product of its digits is 518400, while the sum is 48.

The spelling of 149145541941 in words is "one hundred forty-nine billion, one hundred forty-five million, five hundred forty-one thousand, nine hundred forty-one".

Divisors: 1 3 11 17 33 37 47 51 111 141 187 407 517 561 629 799 1221 1551 1739 1887 2397 5217 6919 8789 19129 20757 26367 29563 57387 88689 152879 325193 458637 975579 1681669 2598943 5045007 5656523 7185313 7796829 16969569 21555939 28588373 62221753 79038443 85765119 96160891 122150321 186665259 237115329 265856581 288482673 366450963 797569743 1057769801 1343653531 2924422391 3173309403 4030960593 4519561877 8773267173 13558685631 49715180647 149145541941