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201014143104 = 2732921185549
BaseRepresentation
bin1011101100110101100…
…0000110100010000000
3201012212000120111022010
42323031120012202000
511243134110034404
6232202234412520
720344214011305
oct2731530064200
9635760514263
10201014143104
11782822749a5
1232b5b291140
1315c5646b958
149a2ca710ac
1553674eb189
hex2ecd606880

201014143104 has 128 divisors (see below), whose sum is σ = 554979960000. Its totient is φ = 64386846720.

The previous prime is 201014143091. The next prime is 201014143129. The reversal of 201014143104 is 401341410102.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2306922 + ... + 2392470.

Almost surely, 2201014143104 is an apocalyptic number.

201014143104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201014143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277489980000).

201014143104 is an abundant number, since it is smaller than the sum of its proper divisors (353965816896).

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

201014143104 is a wasteful number, since it uses less digits than its factorization.

201014143104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85806 (or 85794 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 201014143104 its reverse (401341410102), we get a palindrome (602355553206).

The spelling of 201014143104 in words is "two hundred one billion, fourteen million, one hundred forty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 211 232 348 384 422 464 633 696 844 928 1266 1392 1688 1856 2532 2784 3376 3712 5064 5568 6119 6752 10128 11136 12238 13504 18357 20256 24476 27008 36714 40512 48952 73428 81024 85549 97904 146856 171098 195808 256647 293712 342196 391616 513294 587424 684392 783232 1026588 1174848 1368784 2053176 2349696 2480921 2737568 4106352 4961842 5475136 7442763 8212704 9923684 10950272 14885526 16425408 18050839 19847368 29771052 32850816 36101678 39694736 54152517 59542104 72203356 79389472 108305034 119084208 144406712 158778944 216610068 238168416 288813424 317557888 433220136 476336832 523474331 577626848 866440272 952673664 1046948662 1155253696 1570422993 1732880544 2093897324 2310507392 3140845986 3465761088 4187794648 6281691972 6931522176 8375589296 12563383944 16751178592 25126767888 33502357184 50253535776 67004714368 100507071552 201014143104