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44045375388234 = 231117827214122171
BaseRepresentation
bin10100000001111000111001…
…11101000011101001001010
312202221200210221102021011020
422000330130331003221022
521233114412044410414
6233402055514213310
712164113314352353
oct1200743475035112
9182850727367136
1044045375388234
11130415a21674a0
124b34357124236
131b765cbca933c
14ac3b43c82d2a
15515ac45667a9
hex280f1cf43a4a

44045375388234 has 128 divisors (see below), whose sum is σ = 101927100570624. Its totient is φ = 12540345216000.

The previous prime is 44045375388233. The next prime is 44045375388269. The reversal of 44045375388234 is 43288357354044.

It is not an unprimeable number, because it can be changed into a prime (44045375388233) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1986609969 + ... + 1986632139.

It is an arithmetic number, because the mean of its divisors is an integer number (796305473208).

Almost surely, 244045375388234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44045375388234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50963550285312).

44045375388234 is an abundant number, since it is smaller than the sum of its proper divisors (57881725182390).

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

44045375388234 is a wasteful number, since it uses less digits than its factorization.

44045375388234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25172.

The product of its (nonzero) digits is 154828800, while the sum is 60.

The spelling of 44045375388234 in words is "forty-four trillion, forty-five billion, three hundred seventy-five million, three hundred eighty-eight thousand, two hundred thirty-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 827 1122 1654 2141 2481 4282 4962 6423 9097 12846 14059 18194 22171 23551 27291 28118 36397 42177 44342 47102 54582 66513 70653 72794 84354 109191 133026 141306 154649 218382 243881 309298 376907 400367 463947 487762 731643 753814 800734 927894 1130721 1201101 1463286 1770607 2261442 2402202 3541214 4145977 5311821 8291954 10623642 12437931 18335417 19476677 24875862 30100319 36670834 38953354 47468111 55006251 58430031 60200638 90300957 94936222 110012502 116860062 142404333 180601914 201689587 284808666 311702089 331103509 403379174 522149221 605068761 623404178 662207018 806957887 935106267 993310527 1044298442 1210137522 1566447663 1613915774 1870212534 1986621054 2420873661 3132895326 3428722979 4841747322 6857445958 8876536757 10286168937 17753073514 20572337874 26629610271 39256127797 53259220542 78512255594 117768383391 235536766782 431817405767 667354172549 863634811534 1295452217301 1334708345098 2002062517647 2590904434602 4004125035294 7340895898039 14681791796078 22022687694117 44045375388234