Search a number
-
+
402431032140102 = 23372078951211331
BaseRepresentation
bin101101110000000100100011…
…0101101111010000101000110
31221202220000211120010101112000
41123200021012231322011012
5410221412223211440402
63543522133002410130
7150523453063112160
oct13340110655720506
91852800746111460
10402431032140102
11107255051318a59
12391759b6500946
1314372111596824
147153aa181b930
15317d24c05cc1c
hex16e0246b7a146

402431032140102 has 64 divisors (see below), whose sum is σ = 1022096248588800. Its totient is φ = 114974761828320.

The previous prime is 402431032139977. The next prime is 402431032140121. The reversal of 402431032140102 is 201041230134204.

402431032140102 is a `hidden beast` number, since 4 + 0 + 2 + 431 + 0 + 3 + 214 + 0 + 10 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 17747424 + ... + 33463907.

It is an arithmetic number, because the mean of its divisors is an integer number (15970253884200).

Almost surely, 2402431032140102 is an apocalyptic number.

402431032140102 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

402431032140102 is an abundant number, since it is smaller than the sum of its proper divisors (619665216448698).

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

402431032140102 is a wasteful number, since it uses less digits than its factorization.

402431032140102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51232138 (or 51232132 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 402431032140102 its reverse (201041230134204), we get a palindrome (603472262274306).

The spelling of 402431032140102 in words is "four hundred two trillion, four hundred thirty-one billion, thirty-two million, one hundred forty thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 20789 41578 62367 124734 145523 187101 291046 374202 436569 561303 873138 1122606 1309707 2619414 3929121 7858242 51211331 102422662 153633993 307267986 358479317 460901979 716958634 921803958 1075437951 1382705937 2150875902 2765411874 3226313853 6452627706 9678941559 19357883118 1064632360159 2129264720318 3193897080477 6387794160954 7452426521113 9581691241431 14904853042226 19163382482862 22357279563339 28745073724293 44714559126678 57490147448586 67071838690017 134143677380034 201215516070051 402431032140102