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144950042664 = 233272231786331
BaseRepresentation
bin1000011011111110110…
…0100010000000101000
3111212010211002002201200
42012333230202000220
54333324202331124
6150331130244200
713320666014400
oct2067754420050
9455124062650
10144950042664
115652257a499
1224113586660
131089027ba1b
147030c07800
153b855aabc9
hex21bfb22028

144950042664 has 144 divisors (see below), whose sum is σ = 476521924320. Its totient is φ = 39613654080.

The previous prime is 144950042621. The next prime is 144950042681. The reversal of 144950042664 is 466240059441.

144950042664 is a `hidden beast` number, since 1 + 4 + 49 + 500 + 42 + 6 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 812022 + ... + 974309.

It is an arithmetic number, because the mean of its divisors is an integer number (3309180030).

Almost surely, 2144950042664 is an apocalyptic number.

144950042664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

144950042664 is an abundant number, since it is smaller than the sum of its proper divisors (331571881656).

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

144950042664 is a wasteful number, since it uses less digits than its factorization.

144950042664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786380 (or 1786366 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 144950042664 in words is "one hundred forty-four billion, nine hundred fifty million, forty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 49 56 63 69 72 84 92 98 126 138 147 161 168 184 196 207 252 276 294 322 392 414 441 483 504 552 588 644 828 882 966 1127 1176 1288 1449 1656 1764 1932 2254 2898 3381 3528 3864 4508 5796 6762 9016 10143 11592 13524 20286 27048 40572 81144 1786331 3572662 5358993 7145324 10717986 12504317 14290648 16076979 21435972 25008634 32153958 37512951 41085613 42871944 50017268 64307916 75025902 82171226 87530219 100034536 112538853 123256839 128615832 150051804 164342452 175060438 225077706 246513678 262590657 287599291 300103608 328684904 350120876 369770517 450155412 493027356 525181314 575198582 700241752 739541034 787771971 862797873 900310824 986054712 1050362628 1150397164 1479082068 1575543942 1725595746 2013195037 2100725256 2300794328 2588393619 2958164136 3151087884 3451191492 4026390074 5176787238 6039585111 6302175768 6902382984 8052780148 10353574476 12079170222 16105560296 18118755333 20707148952 24158340444 36237510666 48316680888 72475021332 144950042664