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145929641088 = 2737114935391
BaseRepresentation
bin1000011111101000010…
…1011001110010000000
3111221200002100212010210
42013322011121302000
54342330442003323
6151012242354120
713354162324440
oct2077205316200
9457602325123
10145929641088
1156985529270
122434765b940
13109b81c4a6a
1470c4d64120
153be15ac293
hex21fa159c80

145929641088 has 128 divisors (see below), whose sum is σ = 483273584640. Its totient is φ = 37903795200.

The previous prime is 145929641071. The next prime is 145929641119. The reversal of 145929641088 is 880146929541.

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, 2438128 + ... + 2497263.

It is an arithmetic number, because the mean of its divisors is an integer number (3775574880).

Almost surely, 2145929641088 is an apocalyptic number.

It is an amenable number.

145929641088 is an abundant number, since it is smaller than the sum of its proper divisors (337343943552).

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

145929641088 is a wasteful number, since it uses less digits than its factorization.

145929641088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4935426 (or 4935414 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 145929641088 in words is "one hundred forty-five billion, nine hundred twenty-nine million, six hundred forty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 264 308 336 352 384 448 462 528 616 672 704 896 924 1056 1232 1344 1408 1848 2112 2464 2688 3696 4224 4928 7392 9856 14784 29568 4935391 9870782 14806173 19741564 29612346 34547737 39483128 54289301 59224692 69095474 78966256 103643211 108578602 118449384 138190948 157932512 162867903 207286422 217157204 236898768 276381896 315865024 325735806 380025107 414572844 434314408 473797536 552763792 631730048 651471612 760050214 829145688 868628816 947595072 1105527584 1140075321 1302943224 1520100428 1658291376 1737257632 1895190144 2211055168 2280150642 2605886448 3040200856 3316582752 3474515264 4422110336 4560301284 5211772896 6080401712 6633165504 6949030528 9120602568 10423545792 12160803424 13266331008 18241205136 20847091584 24321606848 36482410272 48643213696 72964820544 145929641088