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44136245153055 = 3511432599241517
BaseRepresentation
bin10100000100100010001010…
…01101101100110100011111
312210021101100210220121022110
422002101011031230310133
521241112012224344210
6233511524444445103
712203511204536406
oct1202210515546437
9183241323817273
1044136245153055
1113077092839790
124b49a97249793
131b82051069c53
14ac82c44aa63d
15518141e4b420
hex28244536cd1f

44136245153055 has 96 divisors (see below), whose sum is σ = 79003049587200. Its totient is φ = 20866750544640.

The previous prime is 44136245153017. The next prime is 44136245153059. The reversal of 44136245153055 is 55035154263144.

It is a happy number.

It is not a de Polignac number, because 44136245153055 - 213 = 44136245144863 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 44136245152995 and 44136245153013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44136245153059) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 182625157 + ... + 182866673.

It is an arithmetic number, because the mean of its divisors is an integer number (822948433200).

Almost surely, 244136245153055 is an apocalyptic number.

44136245153055 is a deficient number, since it is larger than the sum of its proper divisors (34866804434145).

44136245153055 is a wasteful number, since it uses less digits than its factorization.

44136245153055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242221 (or 242178 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 48.

The spelling of 44136245153055 in words is "forty-four trillion, one hundred thirty-six billion, two hundred forty-five million, one hundred fifty-three thousand, fifty-five".

Divisors: 1 3 5 11 15 33 43 55 129 165 215 473 599 645 1419 1797 1849 2365 2995 5547 6589 7095 8985 9245 19767 20339 25757 27735 32945 61017 77271 98835 101695 128785 241517 283327 305085 386355 724551 849981 1107551 1207585 1416635 2656687 3322653 3622755 4249905 5537755 7970061 10385231 12183061 13283435 16613265 31155693 36549183 39850305 51926155 60915305 114237541 144668683 155778465 182745915 342712623 434006049 446564933 571187705 723343415 1339694799 1591355513 1713563115 2170030245 2232824665 4774066539 4912214263 6220753369 6698473995 7956777565 14736642789 18662260107 23870332695 24561071315 31103766845 68428287059 73683213945 93311300535 205284861177 267492394867 342141435295 802477184601 1026424305885 1337461974335 2942416343537 4012385923005 8827249030611 14712081717685 44136245153055