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144155681757045 = 33578871168114723
BaseRepresentation
bin100000110001101111011100…
…001101000001011101110101
3200220102011000022121220211000
4200301233130031001131311
5122343321314012211140
61230332112253233513
742235622115301620
oct4061573415013565
9626364008556730
10144155681757045
1141a29099248142
1214202406192899
136258a8cc39aaa
14278525a828db7
15119ec47c99a30
hex831bdc341775

144155681757045 has 128 divisors (see below), whose sum is σ = 293262954209280. Its totient is φ = 65815339345920.

The previous prime is 144155681757029. The next prime is 144155681757047. The reversal of 144155681757045 is 540757186551441.

144155681757045 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 5 + 5 + 6 + 8 + 17 + 570 + 45 = 666.

144155681757045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 144155681757045 - 24 = 144155681757029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144155681757047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9791182054 + ... + 9791196776.

It is an arithmetic number, because the mean of its divisors is an integer number (2291116829760).

Almost surely, 2144155681757045 is an apocalyptic number.

144155681757045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144155681757045 is an abundant number, since it is smaller than the sum of its proper divisors (149107272452235).

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

144155681757045 is a wasteful number, since it uses less digits than its factorization.

144155681757045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27312 (or 27306 counting only the distinct ones).

The product of its (nonzero) digits is 94080000, while the sum is 63.

The spelling of 144155681757045 in words is "one hundred forty-four trillion, one hundred fifty-five billion, six hundred eighty-one million, seven hundred fifty-seven thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 887 945 2661 4435 6209 7983 11681 13305 14723 18627 23949 31045 35043 39915 44169 55881 58405 73615 81767 93135 103061 105129 119745 132507 167643 175215 220845 245301 279405 309183 315387 397521 408835 515305 525645 662535 735903 838215 927549 1226505 1545915 1576935 1987605 2207709 2782647 3679515 4637745 10361047 11038545 13059301 13913235 31083141 39177903 51805235 65296505 72527329 91415107 93249423 117533709 155415705 171979363 195889515 217581987 274245321 279748269 352601127 362636645 457075535 466247115 515938089 587668545 652745961 822735963 859896815 1087909935 1203855541 1371226605 1398741345 1547814267 1763005635 1958237883 2468207889 2579690445 3263729805 3611566623 4113679815 4643442801 6019277705 7739071335 9791189415 10834699869 12341039445 18057833115 23217214005 32504099607 54173499345 152545694981 162520498035 457637084943 762728474905 1067819864867 1372911254829 2288185424715 3203459594601 4118733764487 5339099324335 6864556274145 9610378783803 16017297973005 20593668822435 28831136351409 48051893919015 144155681757045