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401342120124 = 2231131149658253
BaseRepresentation
bin1011101011100011101…
…10101100000010111100
31102100221020000010200120
411311301312230002330
523033422040320444
6504212442254540
740665426506451
oct5656166540274
91370836003616
10401342120124
11145232189090
12659487b7450
132bb00702b6a
14155d4529828
15a68e658b19
hex5d71dac0bc

401342120124 has 96 divisors (see below), whose sum is σ = 1061632051200. Its totient is φ = 116905555200.

The previous prime is 401342120041. The next prime is 401342120129. The reversal of 401342120124 is 421021243104.

It is a super-2 number, since 2×4013421201242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401342120094 and 401342120103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401342120129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280582 + ... + 938834.

It is an arithmetic number, because the mean of its divisors is an integer number (11058667200).

Almost surely, 2401342120124 is an apocalyptic number.

401342120124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401342120124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530816025600).

401342120124 is an abundant number, since it is smaller than the sum of its proper divisors (660289931076).

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

401342120124 is a wasteful number, since it uses less digits than its factorization.

401342120124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658451 (or 658449 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 401342120124 its reverse (421021243104), we get a palindrome (822363363228).

The spelling of 401342120124 in words is "four hundred one billion, three hundred forty-two million, one hundred twenty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 149 186 298 341 372 447 596 682 894 1023 1364 1639 1788 2046 3278 4092 4619 4917 6556 9238 9834 13857 18476 19668 27714 50809 55428 101618 152427 203236 304854 609708 658253 1316506 1974759 2633012 3949518 7240783 7899036 14481566 20405843 21722349 28963132 40811686 43444698 61217529 81623372 86889396 98079697 122435058 196159394 224464273 244870116 294239091 392318788 448928546 588478182 673392819 897857092 1078876667 1176956364 1346785638 2157753334 2693571276 3040470607 3236630001 4315506668 6080941214 6473260002 9121411821 12161882428 12946520004 18242823642 33445176677 36485647284 66890353354 100335530031 133780706708 200671060062 401342120124