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2137214605440 = 27352938383883
BaseRepresentation
bin11111000110011011111…
…010101101100010000000
321120022112011100000200210
4133012123322231202000
5240004003414333230
64313453422114120
7310260112256355
oct37063372554200
97508464300623
102137214605440
11754429a22852
122a6258a1b940
13126700040cb5
14756281ba62c
153a8d93ebeb0
hex1f19bead880

2137214605440 has 128 divisors (see below), whose sum is σ = 7047281102400. Its totient is φ = 550271332352.

The previous prime is 2137214605439. The next prime is 2137214605501. The reversal of 2137214605440 is 445064127312.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19136262 + ... + 19247621.

Almost surely, 22137214605440 is an apocalyptic number.

2137214605440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2137214605440 is an abundant number, since it is smaller than the sum of its proper divisors (4910066496960).

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

2137214605440 is a wasteful number, since it uses less digits than its factorization.

2137214605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38383934 (or 38383922 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 2137214605440 in words is "two trillion, one hundred thirty-seven billion, two hundred fourteen million, six hundred five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 290 320 348 384 435 464 480 580 640 696 870 928 960 1160 1392 1740 1856 1920 2320 2784 3480 3712 4640 5568 6960 9280 11136 13920 18560 27840 55680 38383883 76767766 115151649 153535532 191919415 230303298 307071064 383838830 460606596 575758245 614142128 767677660 921213192 1113132607 1151516490 1228284256 1535355320 1842426384 2226265214 2303032980 2456568512 3070710640 3339397821 3684852768 4452530428 4606065960 4913137024 5565663035 6141421280 6678795642 7369705536 8905060856 9212131920 11131326070 12282842560 13357591284 14739411072 16696989105 17810121712 18424263840 22262652140 24565685120 26715182568 33393978210 35620243424 36848527680 44525304280 53430365136 66787956420 71240486848 73697055360 89050608560 106860730272 133575912840 142480973696 178101217120 213721460544 267151825680 356202434240 427442921088 534303651360 712404868480 1068607302720 2137214605440