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437147007141 = 31329217537603
BaseRepresentation
bin1100101110001111111…
…11011111100010100101
31112210100112012212001010
412113013333133202211
524130234113212031
6532453401252433
743403624152245
oct6270777374245
91483315185033
10437147007141
111594360a86a9
127087b794119
13322b85cac40
141722d8b3b25
15b587bc9246
hex65c7fdf8a5

437147007141 has 48 divisors (see below), whose sum is σ = 650545802816. Its totient is φ = 259554903552.

The previous prime is 437147007139. The next prime is 437147007173. The reversal of 437147007141 is 141700741734.

It is not a de Polignac number, because 437147007141 - 21 = 437147007139 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 437147007141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (437147007131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57492846 + ... + 57500448.

Almost surely, 2437147007141 is an apocalyptic number.

It is an amenable number.

437147007141 is a deficient number, since it is larger than the sum of its proper divisors (213398795675).

437147007141 is a wasteful number, since it uses less digits than its factorization.

437147007141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9430 (or 9401 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

Adding to 437147007141 its reverse (141700741734), we get a palindrome (578847748875).

The spelling of 437147007141 in words is "four hundred thirty-seven billion, one hundred forty-seven million, seven thousand, one hundred forty-one".

Divisors: 1 3 13 29 39 87 377 841 1131 1753 2523 5259 7603 10933 22789 22809 32799 50837 68367 98839 152511 220487 296517 660881 661461 1474273 1982643 2866331 4422819 6394123 8598993 13328059 19165549 19182369 39984177 57496647 83123599 173264767 249370797 386513711 519794301 1159541133 5024678243 11208897619 15074034729 33626692857 145715669047 437147007141