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10032215240040 = 2335713985921679
BaseRepresentation
bin1001000111111100111010…
…1000000010110101101000
31022112001220022220000020220
42101333032220002311220
52303331434100140130
633200422553250040
72053542434355030
oct221771650026550
938461808800226
1010032215240040
113218702a66744
121160388703920
1357a059459936
142697c18608c0
15125e63299410
hex91fcea02d68

10032215240040 has 128 divisors (see below), whose sum is σ = 34643621376000. Its totient is φ = 2276580780288.

The previous prime is 10032215240017. The next prime is 10032215240071. The reversal of 10032215240040 is 4004251223001.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 42844080 + ... + 43077599.

It is an arithmetic number, because the mean of its divisors is an integer number (270653292000).

Almost surely, 210032215240040 is an apocalyptic number.

10032215240040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10032215240040 is an abundant number, since it is smaller than the sum of its proper divisors (24611406135960).

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

10032215240040 is a wasteful number, since it uses less digits than its factorization.

10032215240040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85921839 (or 85921835 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10032215240040 its reverse (4004251223001), we get a palindrome (14036466463041).

The spelling of 10032215240040 in words is "ten trillion, thirty-two billion, two hundred fifteen million, two hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 139 140 168 210 278 280 417 420 556 695 834 840 973 1112 1390 1668 1946 2085 2780 2919 3336 3892 4170 4865 5560 5838 7784 8340 9730 11676 14595 16680 19460 23352 29190 38920 58380 116760 85921679 171843358 257765037 343686716 429608395 515530074 601451753 687373432 859216790 1031060148 1202903506 1288825185 1718433580 1804355259 2062120296 2405807012 2577650370 3007258765 3436867160 3608710518 4811614024 5155300740 6014517530 7217421036 9021776295 10310601480 11943113381 12029035060 14434842072 18043552590 23886226762 24058070120 35829340143 36087105180 47772453524 59715566905 71658680286 72174210360 83601793667 95544907048 119431133810 143317360572 167203587334 179146700715 238862267620 250805381001 286634721144 334407174668 358293401430 418008968335 477724535240 501610762002 668814349336 716586802860 836017936670 1003221524004 1254026905005 1433173605720 1672035873340 2006443048008 2508053810010 3344071746680 5016107620020 10032215240040