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144240100342314 = 23172677915715747
BaseRepresentation
bin100000110010111110000011…
…111100010111101000101010
3200220201012220121002101022020
4200302332003330113220222
5122401212211141423224
61230434553132405310
742245001102366204
oct4062760374275052
9626635817071266
10144240100342314
1141a60979347789
1214216845916836
136263a246110b2
142789388359774
1511a2039123c79
hex832f83f17a2a

144240100342314 has 96 divisors (see below), whose sum is σ = 314958677038080. Its totient is φ = 44012135261952.

The previous prime is 144240100342277. The next prime is 144240100342333. The reversal of 144240100342314 is 413243001042441.

It is a happy number.

144240100342314 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1442401003423142 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1320189 + ... + 17035935.

It is an arithmetic number, because the mean of its divisors is an integer number (3280819552480).

Almost surely, 2144240100342314 is an apocalyptic number.

144240100342314 is an abundant number, since it is smaller than the sum of its proper divisors (170718576695766).

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

144240100342314 is a wasteful number, since it uses less digits than its factorization.

144240100342314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15715932 (or 15715915 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 144240100342314 its reverse (413243001042441), we get a palindrome (557483101384755).

The spelling of 144240100342314 in words is "one hundred forty-four trillion, two hundred forty billion, one hundred million, three hundred forty-two thousand, three hundred fourteen".

Divisors: 1 2 3 6 17 34 51 67 79 102 134 158 201 237 289 402 474 578 867 1139 1343 1734 2278 2686 3417 4029 5293 6834 8058 10586 15879 19363 22831 31758 38726 45662 58089 68493 89981 116178 136986 179962 269943 539886 1529677 3059354 4589031 9178062 15715747 31431494 47147241 94294482 267167699 534335398 801503097 1052955049 1241544013 1603006194 2105910098 2483088026 3158865147 3724632039 4541850883 6317730294 7449264078 9083701766 13625552649 17900235833 21106248221 27251105298 35800471666 42212496442 53700707499 63318744663 83183448871 107401414998 126637489326 166366897742 249550346613 304304009161 358806219757 499100693226 608608018322 717612439514 912912027483 1076418659271 1414118630807 1825824054966 2152837318542 2828237261614 4242355892421 8484711784842 24040016723719 48080033447438 72120050171157 144240100342314