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401301101144124 = 2232231690192867507
BaseRepresentation
bin101101100111110110011000…
…1100101001110100000111100
31221121220000021201121111010200
41123033230301211032200330
5410044404123343102444
63541255103020003500
7150346022250113526
oct13317546145164074
91847800251544120
10401301101144124
11106959928774755
1239012a12990590
13142bc6ba80685c
14711511114ca16
15315db68a63969
hex16cfb3194e83c

401301101144124 has 72 divisors (see below), whose sum is σ = 1058510985517440. Its totient is φ = 127950274084512.

The previous prime is 401301101144123. The next prime is 401301101144191. The reversal of 401301101144124 is 421441101103104.

401301101144124 is a `hidden beast` number, since 4 + 0 + 130 + 1 + 1 + 0 + 114 + 412 + 4 = 666.

It is a super-2 number, since 2×4013011011441242 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401301101144123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138513979 + ... + 141381485.

It is an arithmetic number, because the mean of its divisors is an integer number (14701541465520).

Almost surely, 2401301101144124 is an apocalyptic number.

It is an amenable number.

401301101144124 is an abundant number, since it is smaller than the sum of its proper divisors (657209884373316).

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

401301101144124 is a wasteful number, since it uses less digits than its factorization.

401301101144124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3036559 (or 3036554 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 401301101144124 its reverse (421441101103104), we get a palindrome (822742202247228).

The spelling of 401301101144124 in words is "four hundred one trillion, three hundred one billion, one hundred one million, one hundred forty-four thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 169019 338038 507057 676076 1014114 1521171 2028228 2867507 3042342 3887437 5735014 6084684 7774874 8602521 11470028 11662311 15549748 17205042 23324622 25807563 34410084 34986933 46649244 51615126 65952661 69973866 103230252 131905322 139947732 197857983 263810644 395715966 593573949 791431932 1187147898 2374295796 484663165633 969326331266 1453989496899 1938652662532 2907978993798 4361968490697 5815957987596 8723936981394 11147252809559 17447873962788 22294505619118 33441758428677 44589011238236 66883516857354 100325275286031 133767033714708 200650550572062 401301101144124