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144312101401040 = 2458322795743393
BaseRepresentation
bin100000110100000001000111…
…100010100111000111010000
3200220222002202110210010200222
4200310001013202213013100
5122403402140424313130
61230532021505132212
742253130255320256
oct4064010742470720
9626862673703628
10144312101401040
1141a894670398a1
121422879a92a068
13626a75a4b3961
14278ca58a245d6
1511a3d50255ce5
hex8340478a71d0

144312101401040 has 80 divisors (see below), whose sum is σ = 341064011631168. Its totient is φ = 56778129297408.

The previous prime is 144312101401037. The next prime is 144312101401057. The reversal of 144312101401040 is 40104101213441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1443121014010402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 46364417 + ... + 49378976.

Almost surely, 2144312101401040 is an apocalyptic number.

144312101401040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144312101401040 is an abundant number, since it is smaller than the sum of its proper divisors (196751910230128).

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

144312101401040 is a wasteful number, since it uses less digits than its factorization.

144312101401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95743716 (or 95743710 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 144312101401040 its reverse (40104101213441), we get a palindrome (184416202614481).

The spelling of 144312101401040 in words is "one hundred forty-four trillion, three hundred twelve billion, one hundred one million, four hundred one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 166 227 332 415 454 664 830 908 1135 1328 1660 1816 2270 3320 3632 4540 6640 9080 18160 18841 37682 75364 94205 150728 188410 301456 376820 753640 1507280 95743393 191486786 382973572 478716965 765947144 957433930 1531894288 1914867860 3829735720 7659471440 7946701619 15893403238 21733750211 31786806476 39733508095 43467500422 63573612952 79467016190 86935000844 108668751055 127147225904 158934032380 173870001688 217337502110 317868064760 347740003376 434675004220 635736129520 869350008440 1738700016880 1803901267513 3607802535026 7215605070052 9019506337565 14431210140104 18039012675130 28862420280208 36078025350260 72156050700520 144312101401040