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131054432042000 = 2453416832340007
BaseRepresentation
bin11101110011000101111100…
…110111100011110000010000
3122012000200101200220221112102
4131303011330313203300100
5114134143434100321000
61142421324104015532
736414240666163505
oct3563057467436020
9565020350827472
10131054432042000
113883796633a9a5
12128472881615a8
1358184c2891cac
1424510d57d14ac
15102405e81c3d5
hex77317cde3c10

131054432042000 has 160 divisors (see below), whose sum is σ = 325094054148864. Its totient is φ = 51068290944000.

The previous prime is 131054432041927. The next prime is 131054432042021. The reversal of 131054432042000 is 240234450131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54835997 + ... + 57176003.

Almost surely, 2131054432042000 is an apocalyptic number.

131054432042000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131054432042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162547027074432).

131054432042000 is an abundant number, since it is smaller than the sum of its proper divisors (194039622106864).

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

131054432042000 is a wasteful number, since it uses less digits than its factorization.

131054432042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340754 (or 2340738 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 131054432042000 its reverse (240234450131), we get a palindrome (131294666492131).

The spelling of 131054432042000 in words is "one hundred thirty-one trillion, fifty-four billion, four hundred thirty-two million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 41 50 80 82 100 125 164 200 205 250 328 400 410 500 656 683 820 1000 1025 1366 1640 2000 2050 2732 3280 3415 4100 5125 5464 6830 8200 10250 10928 13660 16400 17075 20500 27320 28003 34150 41000 54640 56006 68300 82000 85375 112012 136600 140015 170750 224024 273200 280030 341500 448048 560060 683000 700075 1120120 1366000 1400150 2240240 2340007 2800300 3500375 4680014 5600600 7000750 9360028 11201200 11700035 14001500 18720056 23400070 28003000 37440112 46800140 56006000 58500175 93600280 95940287 117000350 187200560 191880574 234000700 292500875 383761148 468001400 479701435 585001750 767522296 936002800 959402870 1170003500 1535044592 1598224781 1918805740 2340007000 2398507175 3196449562 3837611480 4680014000 4797014350 6392899124 7675222960 7991123905 9594028700 11992535875 12785798248 15982247810 19188057400 23985071750 25571596496 31964495620 38376114800 39955619525 47970143500 63928991240 65527216021 79911239050 95940287000 127857982480 131054432042 159822478100 191880574000 199778097625 262108864084 319644956200 327636080105 399556195250 524217728168 639289912400 655272160210 799112390500 1048435456336 1310544320420 1598224781000 1638180400525 2621088640840 3196449562000 3276360801050 5242177281680 6552721602100 8190902002625 13105443204200 16381804005250 26210886408400 32763608010500 65527216021000 131054432042000