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40223313012102 = 231117151140035927
BaseRepresentation
bin10010010010101001110000…
…10010001010010110000110
312021102022101211202102021120
421021110320102022112012
520233004321112341402
6221314200201054410
711321016123243033
oct1111247022122606
9167368354672246
1040223313012102
11118a867a637320
12461766a187406
13195a07177b44c
149d0b6688838a
1549b479bd03bc
hex24953848a586

40223313012102 has 128 divisors (see below), whose sum is σ = 93022723842048. Its totient is φ = 11459499686400.

The previous prime is 40223313012049. The next prime is 40223313012121. The reversal of 40223313012102 is 20121031332204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6786451063 + ... + 6786456989.

It is an arithmetic number, because the mean of its divisors is an integer number (726740030016).

Almost surely, 240223313012102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40223313012102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46511361921024).

40223313012102 is an abundant number, since it is smaller than the sum of its proper divisors (52799410829946).

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

40223313012102 is a wasteful number, since it uses less digits than its factorization.

40223313012102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11474.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 40223313012102 its reverse (20121031332204), we get a palindrome (60344344344306).

The spelling of 40223313012102 in words is "forty trillion, two hundred twenty-three billion, three hundred thirteen million, twelve thousand, one hundred two".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 1511 3022 4003 4533 5927 8006 9066 11854 12009 16621 17781 24018 25687 33242 35562 44033 49863 51374 65197 68051 77061 88066 99726 100759 130394 132099 136102 154122 195591 201518 204153 264198 282557 302277 391182 408306 565114 604554 748561 847671 1108349 1497122 1695342 2216698 2245683 3325047 4491366 6048533 6650094 8955697 12097066 17911394 18145599 23725781 26867091 36291198 47451562 53734182 66533863 71177343 98512667 102825061 133067726 142354686 152246849 197025334 199601589 205650122 260983591 295538001 304493698 308475183 399203178 403338277 456740547 521967182 591076002 616950366 782950773 806676554 913481094 1131075671 1210014831 1565901546 1674715339 2262151342 2420029662 3349430678 3393227013 4436721047 5024146017 6786454026 8873442094 10048292034 13310163141 26620326282 35849655091 71699310182 107548965273 215097930546 394346206001 609444136547 788692412002 1183038618003 1218888273094 1828332409641 2366077236006 3656664819282 6703885502017 13407771004034 20111656506051 40223313012102