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1540131373000 = 235311605323131
BaseRepresentation
bin10110011010010110111…
…110111011111111001000
312110020100101220010002201
4112122112332323333020
5200213142112414000
63135305424205544
7216161614446013
oct26322676737710
95406311803081
101540131373000
11544191010960
1220a5a2a698b4
13b230677556c
145478547437a
152a0e068196a
hex16696fbbfc8

1540131373000 has 128 divisors (see below), whose sum is σ = 3932354874240. Its totient is φ = 559931040000.

The previous prime is 1540131372979. The next prime is 1540131373009. The reversal of 1540131373000 is 3731310451.

It is a self number, because there is not a number n which added to its sum of digits gives 1540131373000.

It is not an unprimeable number, because it can be changed into a prime (1540131373009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66571435 + ... + 66594565.

It is an arithmetic number, because the mean of its divisors is an integer number (30721522455).

Almost surely, 21540131373000 is an apocalyptic number.

1540131373000 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 1540131373000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966177437120).

1540131373000 is an abundant number, since it is smaller than the sum of its proper divisors (2392223501240).

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

1540131373000 is a wasteful number, since it uses less digits than its factorization.

1540131373000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29216 (or 29202 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

Adding to 1540131373000 its reverse (3731310451), we get a palindrome (1543862683451).

The spelling of 1540131373000 in words is "one trillion, five hundred forty billion, one hundred thirty-one million, three hundred seventy-three thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 6053 11000 12106 23131 24212 30265 46262 48424 60530 66583 92524 115655 121060 133166 151325 185048 231310 242120 254441 266332 302650 332915 462620 508882 532664 578275 605300 665830 756625 925240 1017764 1156550 1210600 1272205 1331660 1513250 1664575 2035528 2313100 2544410 2663320 2891375 3026500 3329150 4626200 5088820 5782750 6053000 6361025 6658300 8322875 10177640 11565500 12722050 13316600 16645750 23131000 25444100 31805125 33291500 50888200 63610250 66583000 127220500 140011943 254441000 280023886 560047772 700059715 1120095544 1400119430 1540131373 2800238860 3080262746 3500298575 5600477720 6160525492 7000597150 7700656865 12321050984 14001194300 15401313730 17501492875 28002388600 30802627460 35002985750 38503284325 61605254920 70005971500 77006568650 140011943000 154013137300 192516421625 308026274600 385032843250 770065686500 1540131373000