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1012044300344 = 237115876014657
BaseRepresentation
bin11101011101000101000…
…10101000000000111000
310120202021002220021110222
432232202202220000320
5113040131320102334
62052532101355212
7133055254421210
oct16564242500070
93522232807428
101012044300344
11360229695020
12144183708b08
137458767138c
1436da9cb7240
151b4d3d37d2e
hexeba28a8038

1012044300344 has 128 divisors (see below), whose sum is σ = 2374301099520. Its totient is φ = 392891904000.

The previous prime is 1012044300341. The next prime is 1012044300353. The reversal of 1012044300344 is 4430034402101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012044300341) 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, 217314464 + ... + 217319120.

It is an arithmetic number, because the mean of its divisors is an integer number (18549227340).

Almost surely, 21012044300344 is an apocalyptic number.

1012044300344 is a gapful number since it is divisible by the number (14) 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 1012044300344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187150549760).

1012044300344 is an abundant number, since it is smaller than the sum of its proper divisors (1362256799176).

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

1012044300344 is a wasteful number, since it uses less digits than its factorization.

1012044300344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5869 (or 5865 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 1012044300344 its reverse (4430034402101), we get a palindrome (5442078702445).

The spelling of 1012044300344 in words is "one trillion, twelve billion, forty-four million, three hundred thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 587 601 616 1174 1202 2348 2404 4109 4207 4657 4696 4808 6457 6611 8218 8414 9314 12914 13222 16436 16828 18628 25828 26444 32599 32872 33656 37256 45199 46277 51227 51656 52888 65198 90398 92554 102454 130396 180796 185108 204908 260792 352787 358589 361592 370216 409816 705574 717178 1411148 1434356 2469509 2733659 2798857 2822296 2868712 3880657 4939018 5467318 5597714 7761314 9878036 10934636 11195428 15522628 19135613 19591999 19756072 21869272 22390856 27164599 30070249 30787427 31045256 38271226 39183998 54329198 60140498 61574854 76542452 78367996 108658396 120280996 123149708 153084904 156735992 210491743 215511989 217316792 240561992 246299416 420983486 431023978 841966972 862047956 1642929059 1683933944 1724095912 3285858118 6571716236 11500503413 13143432472 18072219649 23001006826 36144439298 46002013652 72288878596 92004027304 126505537543 144577757192 253011075086 506022150172 1012044300344