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402444134484 = 2237191453173543
BaseRepresentation
bin1011101101100111000…
…10100010100001010100
31102110210000122021012020
411312303202202201110
523043201144300414
6504514050253140
741034640462350
oct5666342424124
91373700567166
10402444134484
11145748249857
1265bb58871b0
132bc47b0a672
141569aa30460
15a70628b7a9
hex5db38a2854

402444134484 has 96 divisors (see below), whose sum is σ = 1130451732480. Its totient is φ = 108856649088.

The previous prime is 402444134483. The next prime is 402444134497. The reversal of 402444134484 is 484431444204.

It is a happy number.

It is a super-2 number, since 2×4024441344842 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402444134483) 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, 2232217 + ... + 2405759.

It is an arithmetic number, because the mean of its divisors is an integer number (11775538880).

Almost surely, 2402444134484 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402444134484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565225866240).

402444134484 is an abundant number, since it is smaller than the sum of its proper divisors (728007597996).

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

402444134484 is a wasteful number, since it uses less digits than its factorization.

402444134484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175029 (or 175027 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 42.

Adding to 402444134484 its reverse (484431444204), we get a palindrome (886875578688).

The spelling of 402444134484 in words is "four hundred two billion, four hundred forty-four million, one hundred thirty-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 399 532 798 1453 1596 2906 4359 5812 8718 10171 17436 20342 27607 30513 40684 55214 61026 82821 110428 122052 165642 173543 193249 331284 347086 386498 520629 579747 694172 772996 1041258 1159494 1214801 2082516 2318988 2429602 3297317 3644403 4859204 6594634 7288806 9891951 13189268 14577612 19783902 23081219 39567804 46162438 69243657 92324876 138487314 252157979 276974628 504315958 756473937 1008631916 1512947874 1765105853 3025895748 3530211706 4791001601 5295317559 7060423412 9582003202 10590635118 14373004803 19164006404 21181270236 28746009606 33537011207 57492019212 67074022414 100611033621 134148044828 201222067242 402444134484