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401134034212140 = 223537319379924907
BaseRepresentation
bin101101100110101000100101…
…1100111011101010100101100
31221121022001001112200222221010
41123031101023213131110230
5410034140000224242030
63541050233055505220
7150330656212453215
oct13315211347352454
91847261045628833
10401134034212140
111068a4a96851a39
1238ba6568528210
13142a9a1442aa98
14710adc2c5840c
15315963b98a6b0
hex16cd44b9dd52c

401134034212140 has 96 divisors (see below), whose sum is σ = 1126245821057280. Its totient is φ = 106676675041536.

The previous prime is 401134034212133. The next prime is 401134034212169. The reversal of 401134034212140 is 41212430431104.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 401134034212098 and 401134034212107.

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, 433239567 + ... + 434164473.

It is an arithmetic number, because the mean of its divisors is an integer number (11731727302680).

Almost surely, 2401134034212140 is an apocalyptic number.

It is an amenable number.

401134034212140 is an abundant number, since it is smaller than the sum of its proper divisors (725111786845140).

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

401134034212140 is a wasteful number, since it uses less digits than its factorization.

401134034212140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944671 (or 944669 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 401134034212140 its reverse (41212430431104), we get a palindrome (442346464643244).

The spelling of 401134034212140 in words is "four hundred one trillion, one hundred thirty-four billion, thirty-four million, two hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 373 746 1119 1492 1865 2238 3730 4476 5595 7460 11190 19379 22380 38758 58137 77516 96895 116274 193790 232548 290685 387580 581370 924907 1162740 1849814 2774721 3699628 4624535 5549442 7228367 9249070 11098884 13873605 14456734 18498140 21685101 27747210 28913468 36141835 43370202 55494420 72283670 86740404 108425505 144567340 216851010 344990311 433702020 689980622 1034970933 1379961244 1724951555 2069941866 3449903110 4139883732 5174854665 6899806220 10349709330 17923772753 20699418660 35847545506 53771318259 71695091012 89618863765 107542636518 179237727530 215085273036 268856591295 358475455060 537713182590 1075426365180 6685567236869 13371134473738 20056701710607 26742268947476 33427836184345 40113403421214 66855672368690 80226806842428 100283508553035 133711344737380 200567017106070 401134034212140