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1315041740700 = 2235215143367043
BaseRepresentation
bin10011001000101110100…
…110001000011110011100
311122201100112001001101120
4103020232212020132130
5133021201141200300
62444042152210540
7164002650235662
oct23105646103634
94581315031346
101315041740700
11467784863656
12192a44999a50
139701449941c
1447911156c32
15243197323a0
hex1322e98879c

1315041740700 has 144 divisors (see below), whose sum is σ = 3838954457856. Its totient is φ = 347545728000.

The previous prime is 1315041740669. The next prime is 1315041740731. The reversal of 1315041740700 is 70471405131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1315041740669) and next prime (1315041740731).

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 47 ways as a sum of consecutive naturals, for example, 19581379 + ... + 19648421.

Almost surely, 21315041740700 is an apocalyptic number.

1315041740700 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 1315041740700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1919477228928).

1315041740700 is an abundant number, since it is smaller than the sum of its proper divisors (2523912717156).

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

1315041740700 is a wasteful number, since it uses less digits than its factorization.

1315041740700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67644 (or 67637 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 1315041740700 in words is "one trillion, three hundred fifteen billion, forty-one million, seven hundred forty thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 151 300 302 433 453 604 755 866 906 1299 1510 1732 1812 2165 2265 2598 3020 3775 4330 4530 5196 6495 7550 8660 9060 10825 11325 12990 15100 21650 22650 25980 32475 43300 45300 64950 65383 67043 129900 130766 134086 196149 201129 261532 268172 326915 335215 392298 402258 653830 670430 784596 804516 980745 1005645 1307660 1340860 1634575 1676075 1961490 2011290 3269150 3352150 3922980 4022580 4903725 5028225 6538300 6704300 9807450 10056450 10123493 19614900 20112900 20246986 29029619 30370479 40493972 50617465 58059238 60740958 87088857 101234930 116118476 121481916 145148095 151852395 174177714 202469860 253087325 290296190 303704790 348355428 435444285 506174650 580592380 607409580 725740475 759261975 870888570 1012349300 1451480950 1518523950 1741777140 2177221425 2902961900 3037047900 4354442850 4383472469 8708885700 8766944938 13150417407 17533889876 21917362345 26300834814 43834724690 52601669628 65752087035 87669449380 109586811725 131504174070 219173623450 263008348140 328760435175 438347246900 657520870350 1315041740700