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44312114311100 = 225223115116738607
BaseRepresentation
bin10100001001101001101111…
…10101010010111110111100
312210220012022102202111200122
422010310313311102332330
521302002202230423400
6234124412043114112
712222305333654456
oct1204646765227674
9183805272674618
1044312114311100
1113134731350199
124b77b99512938
131b957cac3accc
14ad2a098132d6
1551c9d6b86685
hex284d37d52fbc

44312114311100 has 72 divisors (see below), whose sum is σ = 100425220374528. Its totient is φ = 16939469272000.

The previous prime is 44312114311081. The next prime is 44312114311103. The reversal of 44312114311100 is 111341121344.

It is a self number, because there is not a number n which added to its sum of digits gives 44312114311100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44312114311103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5722004 + ... + 11016603.

It is an arithmetic number, because the mean of its divisors is an integer number (1394794727424).

Almost surely, 244312114311100 is an apocalyptic number.

It is an amenable number.

44312114311100 is an abundant number, since it is smaller than the sum of its proper divisors (56113106063428).

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

44312114311100 is a wasteful number, since it uses less digits than its factorization.

44312114311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16739795 (or 16739788 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

Adding to 44312114311100 its reverse (111341121344), we get a palindrome (44423455432444).

The spelling of 44312114311100 in words is "forty-four trillion, three hundred twelve billion, one hundred fourteen million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 1151 2300 2302 4604 5755 11510 23020 26473 28775 52946 57550 105892 115100 132365 264730 529460 661825 1323650 2647300 16738607 33477214 66954428 83693035 167386070 334772140 384987961 418465175 769975922 836930350 1539951844 1673860700 1924939805 3849879610 7699759220 9624699025 19249398050 19266136657 38498796100 38532273314 77064546628 96330683285 192661366570 385322733140 443121143111 481653416425 886242286222 963306832850 1772484572444 1926613665700 2215605715555 4431211431110 8862422862220 11078028577775 22156057155550 44312114311100