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920331730845440 = 2851955316841907
BaseRepresentation
bin1101000101000010010110110…
…1111001000111111100000000
311110200121212001201102020220222
43101100211231321013330000
51431112203341044023230
613021214321014122212
7364565526146535134
oct32120455571077400
94420555051366828
10920331730845440
1124727854a077601
128727a556650368
133066bba9b75454
141233a4173033c4
15715ee18ae36e5
hex345096de47f00

920331730845440 has 144 divisors (see below), whose sum is σ = 2320927357633920. Its totient is φ = 348694181498880.

The previous prime is 920331730845431. The next prime is 920331730845481. The reversal of 920331730845440 is 44548037133029.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131092967 + ... + 137934873.

It is an arithmetic number, because the mean of its divisors is an integer number (16117551094680).

Almost surely, 2920331730845440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920331730845440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160463678816960).

920331730845440 is an abundant number, since it is smaller than the sum of its proper divisors (1400595626788480).

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

920331730845440 is a wasteful number, since it uses less digits than its factorization.

920331730845440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6847478 (or 6847464 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 53.

Adding to 920331730845440 its reverse (44548037133029), we get a palindrome (964879767978469).

The spelling of 920331730845440 in words is "nine hundred twenty trillion, three hundred thirty-one billion, seven hundred thirty million, eight hundred forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 64 76 80 95 128 152 160 190 256 304 320 380 608 640 760 1216 1280 1520 2432 3040 4864 5531 6080 11062 12160 22124 24320 27655 44248 55310 88496 105089 110620 176992 210178 221240 353984 420356 442480 525445 707968 840712 884960 1050890 1415936 1681424 1769920 2101780 3362848 3539840 4203560 6725696 6841907 7079680 8407120 13451392 13683814 16814240 26902784 27367628 33628480 34209535 54735256 67256960 68419070 109470512 129996233 134513920 136838140 218941024 259992466 273676280 437882048 519984932 547352560 649981165 875764096 1039969864 1094705120 1299962330 1751528192 2079939728 2189410240 2599924660 4159879456 4378820480 5199849320 8319758912 8757640960 10399698640 16639517824 20799397280 33279035648 37842587617 41598794560 75685175234 83197589120 151370350468 166395178240 189212938085 302740700936 378425876170 605481401872 719009164723 756851752340 1210962803744 1438018329446 1513703504680 2421925607488 2876036658892 3027407009360 3595045823615 4843851214976 5752073317784 6054814018720 7190091647230 9687702429952 11504146635568 12109628037440 14380183294460 23008293271136 24219256074880 28760366588920 46016586542272 48438512149760 57520733177840 92033173084544 115041466355680 184066346169088 230082932711360 460165865422720 920331730845440