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146100641445 = 325113723933377
BaseRepresentation
bin1000100000010001000…
…1101101111010100101
3111222010000010120112100
42020010101231322211
54343203231011240
6151041231442313
713361336650653
oct2100421557245
9458100116470
10146100641445
1156a63004380
1224394986399
1310a147674c5
1470dd957dd3
153c015d8e30
hex220446dea5

146100641445 has 96 divisors (see below), whose sum is σ = 284925288960. Its totient is φ = 68631736320.

The previous prime is 146100641419. The next prime is 146100641447. The reversal of 146100641445 is 544146001641.

146100641445 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 0 + 0 + 641 + 4 + 4 + 5 = 666.

It is not a de Polignac number, because 146100641445 - 214 = 146100625061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146100641447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4360597 + ... + 4393973.

It is an arithmetic number, because the mean of its divisors is an integer number (2967971760).

Almost surely, 2146100641445 is an apocalyptic number.

146100641445 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

146100641445 is a deficient number, since it is larger than the sum of its proper divisors (138824647515).

146100641445 is a wasteful number, since it uses less digits than its factorization.

146100641445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33675 (or 33672 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 146100641445 in words is "one hundred forty-six billion, one hundred million, six hundred forty-one thousand, four hundred forty-five".

Divisors: 1 3 5 9 11 15 33 37 45 55 99 111 165 185 239 333 407 495 555 717 1195 1221 1665 2035 2151 2629 3585 3663 6105 7887 8843 10755 13145 18315 23661 26529 33377 39435 44215 79587 97273 100131 118305 132645 166885 291819 300393 367147 397935 486365 500655 875457 1101441 1234949 1459095 1501965 1835735 3304323 3704847 4377285 5507205 6174745 7977103 11114541 13584439 16521615 18524235 23931309 39885515 40753317 55572705 67922195 71793927 87748133 119656545 122259951 203766585 263244399 295152811 358969635 438740665 611299755 789733197 885458433 1316221995 1475764055 2656375299 3246680921 3948665985 4427292165 9740042763 13281876495 16233404605 29220128289 48700213815 146100641445