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1150145240500 = 225337149341641
BaseRepresentation
bin10000101111001001111…
…111111001110110110100
311001221201121011220212101
4100233021333321312310
5122320444140144000
62240211444031444
7146044446144664
oct20571177716664
94057647156771
101150145240500
11403857005413
12166aa5392584
13845c596b709
143d94b2041a4
151edb7e84e6a
hex10bc9ff9db4

1150145240500 has 96 divisors (see below), whose sum is σ = 2581596789408. Its totient is φ = 447313536000.

The previous prime is 1150145240483. The next prime is 1150145240533. The reversal of 1150145240500 is 50425410511.

It can be written as a sum of positive squares in 16 ways, for example, as 41866888996 + 1108278351504 = 204614^2 + 1052748^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27599680 + ... + 27641320.

It is an arithmetic number, because the mean of its divisors is an integer number (26891633223).

Almost surely, 21150145240500 is an apocalyptic number.

1150145240500 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 1150145240500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290798394704).

1150145240500 is an abundant number, since it is smaller than the sum of its proper divisors (1431451548908).

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

1150145240500 is a wasteful number, since it uses less digits than its factorization.

1150145240500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43190 (or 43178 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 28.

The spelling of 1150145240500 in words is "one trillion, one hundred fifty billion, one hundred forty-five million, two hundred forty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 125 148 185 250 370 500 740 925 1493 1850 2986 3700 4625 5972 7465 9250 14930 18500 29860 37325 41641 55241 74650 83282 110482 149300 166564 186625 208205 220964 276205 373250 416410 552410 746500 832820 1041025 1104820 1381025 1540717 2082050 2762050 3081434 4164100 5205125 5524100 6162868 6905125 7703585 10410250 13810250 15407170 20820500 27620500 30814340 38517925 62170013 77035850 124340026 154071700 192589625 248680052 310850065 385179250 621700130 770358500 1243400260 1554250325 2300290481 3108500650 4600580962 6217001300 7771251625 9201161924 11501452405 15542503250 23002904810 31085006500 46005809620 57507262025 115014524050 230029048100 287536310125 575072620250 1150145240500