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141732839424 = 215311131071
BaseRepresentation
bin1000001111111111101…
…1111000000000000000
3111112211121100020120010
42003333323320000000
54310232101330144
6145040002344520
713145162154201
oct2037773700000
9445747306503
10141732839424
1155121547040
122357605b140
1310499898a77
146c078215a8
153a47e105b9
hex20ffef8000

141732839424 has 128 divisors (see below), whose sum is σ = 412310568960. Its totient is φ = 42949017600.

The previous prime is 141732839389. The next prime is 141732839453. The reversal of 141732839424 is 424938237141.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1015809 + ... + 1146879.

It is an arithmetic number, because the mean of its divisors is an integer number (3221176320).

Almost surely, 2141732839424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141732839424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206155284480).

141732839424 is an abundant number, since it is smaller than the sum of its proper divisors (270577729536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

141732839424 is an equidigital number, since it uses as much as digits as its factorization.

141732839424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131115 (or 131087 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The spelling of 141732839424 in words is "one hundred forty-one billion, seven hundred thirty-two million, eight hundred thirty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 512 528 704 768 1024 1056 1408 1536 2048 2112 2816 3072 4096 4224 5632 6144 8192 8448 11264 12288 16384 16896 22528 24576 32768 33792 45056 49152 67584 90112 98304 131071 135168 180224 262142 270336 360448 393213 524284 540672 786426 1048568 1081344 1441781 1572852 2097136 2883562 3145704 4194272 4325343 5767124 6291408 8388544 8650686 11534248 12582816 16777088 17301372 23068496 25165632 33554176 34602744 46136992 50331264 67108352 69205488 92273984 100662528 134216704 138410976 184547968 201325056 268433408 276821952 369095936 402650112 536866816 553643904 738191872 805300224 1073733632 1107287808 1476383744 1610600448 2147467264 2214575616 2952767488 3221200896 4294934528 4429151232 5905534976 6442401792 8858302464 11811069952 12884803584 17716604928 23622139904 35433209856 47244279808 70866419712 141732839424