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1377443141440 = 26529877169249
BaseRepresentation
bin10100000010110110000…
…000100101011101000000
311212200102101021122122221
4110002312000211131000
5140032000421011230
62532442202540424
7201342216343012
oct24026600453500
94780371248587
101377443141440
1149119681a623
121a2b5ab07714
139cb7a5b29a2
144a9509121b2
1525c6cbd627a
hex140b6025740

1377443141440 has 112 divisors (see below), whose sum is σ = 3397030290000. Its totient is φ = 531368312832.

The previous prime is 1377443141377. The next prime is 1377443141441. The reversal of 1377443141440 is 441413447731.

It can be written as a sum of positive squares in 8 ways, for example, as 185974837504 + 1191468303936 = 431248^2 + 1091544^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377443141441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8053936 + ... + 8223184.

Almost surely, 21377443141440 is an apocalyptic number.

1377443141440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377443141440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1698515145000).

1377443141440 is an abundant number, since it is smaller than the sum of its proper divisors (2019587148560).

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

1377443141440 is a wasteful number, since it uses less digits than its factorization.

1377443141440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170172 (or 170162 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 43.

The spelling of 1377443141440 in words is "one trillion, three hundred seventy-seven billion, four hundred forty-three million, one hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 877 928 1160 1754 1856 2320 3508 4385 4640 7016 8770 9280 14032 17540 25433 28064 35080 50866 56128 70160 101732 127165 140320 169249 203464 254330 280640 338498 406928 508660 676996 813856 846245 1017320 1353992 1627712 1692490 2034640 2707984 3384980 4069280 4908221 5415968 6769960 8138560 9816442 10831936 13539920 19632884 24541105 27079840 39265768 49082210 54159680 78531536 98164420 148431373 157063072 196328840 296862746 314126144 392657680 593725492 742156865 785315360 1187450984 1484313730 1570630720 2374901968 2968627460 4304509817 4749803936 5937254920 8609019634 9499607872 11874509840 17218039268 21522549085 23749019680 34436078536 43045098170 47498039360 68872157072 86090196340 137744314144 172180392680 275488628288 344360785360 688721570720 1377443141440