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401101310320320 = 26353480712003731
BaseRepresentation
bin101101100110011001010110…
…1000111101101111011000000
31221121011220120221221001102210
41123030302231013231323000
5410033120440420222240
63541023222001142120
7150325420246122621
oct13314625507557300
91847156527831383
10401101310320320
11106892123a93745
1238ba015532a940
13142a68ca93559c
14710959ab5ba48
153158873b5c780
hex16cccad1edec0

401101310320320 has 112 divisors (see below), whose sum is σ = 1273533353733888. Its totient is φ = 106957267553280.

The previous prime is 401101310320307. The next prime is 401101310320343. The reversal of 401101310320320 is 23023013101104.

It is a super-2 number, since 2×4011013103203202 (a number of 30 digits) contains 22 as substring.

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, 27412855 + ... + 39416585.

Almost surely, 2401101310320320 is an apocalyptic number.

401101310320320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401101310320320 is an abundant number, since it is smaller than the sum of its proper divisors (872432043413568).

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

401101310320320 is a wasteful number, since it uses less digits than its factorization.

401101310320320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12038558 (or 12038548 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 401101310320320 its reverse (23023013101104), we get a palindrome (424124323421424).

The spelling of 401101310320320 in words is "four hundred one trillion, one hundred one billion, three hundred ten million, three hundred twenty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 34807 69614 104421 139228 174035 208842 278456 348070 417684 522105 556912 696140 835368 1044210 1113824 1392280 1670736 2088420 2227648 2784560 3341472 4176840 5569120 6682944 8353680 11138240 12003731 16707360 24007462 33414720 36011193 48014924 60018655 72022386 96029848 120037310 144044772 180055965 192059696 240074620 288089544 360111930 384119392 480149240 576179088 720223860 768238784 960298480 1152358176 1440447720 1920596960 2304716352 2880895440 3841193920 5761790880 11523581760 417813864917 835627729834 1253441594751 1671255459668 2089069324585 2506883189502 3342510919336 4178138649170 5013766379004 6267207973755 6685021838672 8356277298340 10027532758008 12534415947510 13370043677344 16712554596680 20055065516016 25068831895020 26740087354688 33425109193360 40110131032032 50137663790040 66850218386720 80220262064064 100275327580080 133700436773440 200550655160160 401101310320320