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1144340111440 = 245371535925171
BaseRepresentation
bin10000101001101111111…
…111000110000001010000
311001101202000210210212101
4100221233333012001100
5122222102032031230
62233411432010144
7145450546312321
oct20515777060120
94041660723771
101144340111440
11401348183a99
12165945230954
1383bac0824c6
143d55a240448
151eb784e1aca
hex10a6ffc6050

1144340111440 has 80 divisors (see below), whose sum is σ = 2732785090560. Its totient is φ = 445318110720.

The previous prime is 1144340111399. The next prime is 1144340111513. The reversal of 1144340111440 is 441110434411.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1144340111399 and 1144340111408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45450055 + ... + 45475225.

It is an arithmetic number, because the mean of its divisors is an integer number (34159813632).

Almost surely, 21144340111440 is an apocalyptic number.

1144340111440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144340111440 is an abundant number, since it is smaller than the sum of its proper divisors (1588444979120).

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

1144340111440 is a wasteful number, since it uses less digits than its factorization.

1144340111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40580 (or 40574 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 1144340111440 its reverse (441110434411), we get a palindrome (1585450545851).

The spelling of 1144340111440 in words is "one trillion, one hundred forty-four billion, three hundred forty million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 15359 25171 30718 50342 61436 76795 100684 122872 125855 153590 201368 245744 251710 307180 402736 503420 568283 614360 931327 1006840 1136566 1228720 1862654 2013680 2273132 2841415 3725308 4546264 4656635 5682830 7450616 9092528 9313270 11365660 14901232 18626540 22731320 37253080 45462640 74506160 386601389 773202778 1546405556 1933006945 3092811112 3866013890 6185622224 7732027780 14304251393 15464055560 28608502786 30928111120 57217005572 71521256965 114434011144 143042513930 228868022288 286085027860 572170055720 1144340111440