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3413002242402 = 23210915723414733
BaseRepresentation
bin110001101010100110110…
…010010100100101100010
3110002021112222211222220100
4301222212302110211202
5421404312033224102
611131524522523230
7501403243252254
oct61524662244542
913067488758810
103413002242402
1110a649a875255
12471567666516
131b9ac9b467ac
14bb293c49cd4
155dba7883a1c
hex31aa6c94962

3413002242402 has 96 divisors (see below), whose sum is σ = 7515009318960. Its totient is φ = 1119335293440.

The previous prime is 3413002242401. The next prime is 3413002242437. The reversal of 3413002242402 is 2042422003143.

3413002242402 is a `hidden beast` number, since 3 + 4 + 1 + 30 + 0 + 224 + 2 + 402 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1357222670001 + 2055779572401 = 1164999^2 + 1433799^2 .

It is not an unprimeable number, because it can be changed into a prime (3413002242401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 721105228 + ... + 721109960.

Almost surely, 23413002242402 is an apocalyptic number.

3413002242402 is an abundant number, since it is smaller than the sum of its proper divisors (4102007076558).

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

3413002242402 is a wasteful number, since it uses less digits than its factorization.

3413002242402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7348 (or 7345 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 3413002242402 its reverse (2042422003143), we get a palindrome (5455424245545).

The spelling of 3413002242402 in words is "three trillion, four hundred thirteen billion, two million, two hundred forty-two thousand, four hundred two".

Divisors: 1 2 3 6 9 18 109 157 218 314 327 471 654 942 981 1413 1962 2341 2826 4682 4733 7023 9466 14046 14199 17113 21069 28398 34226 42138 42597 51339 85194 102678 154017 255169 308034 367537 510338 515897 735074 743081 765507 1031794 1102611 1486162 1531014 1547691 2205222 2229243 2296521 3095382 3307833 4458486 4593042 4643073 6615666 6687729 9286146 11079953 13375458 22159906 33239859 40061533 66479718 80123066 80995829 99719577 120184599 161991658 199439154 240369198 242987487 360553797 485974974 721107594 728962461 1207714877 1457924922 1739552621 2415429754 3479105242 3623144631 5218657863 7246289262 10437315726 10869433893 15655973589 21738867786 31311947178 189611235689 379222471378 568833707067 1137667414134 1706501121201 3413002242402