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3410402304042 = 233678233114493
BaseRepresentation
bin110001101000001011110…
…100010110000000101010
3110002000211210121102222000
4301220023310112000222
5421334000442212132
611130414525111430
7501251643166116
oct61501364260052
913060753542860
103410402304042
1110a5386212068
12470b609b8576
131b97a42c5926
14bb0c8822746
155daa44b687c
hex31a0bd1602a

3410402304042 has 64 divisors (see below), whose sum is σ = 7692787743360. Its totient is φ = 1119687795072.

The previous prime is 3410402304031. The next prime is 3410402304053. The reversal of 3410402304042 is 2404032040143.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3410402304031) and next prime (3410402304053).

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

It is a junction number, because it is equal to n+sod(n) for n = 3410402303997 and 3410402304015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29729748 + ... + 29844240.

It is an arithmetic number, because the mean of its divisors is an integer number (120199808490).

Almost surely, 23410402304042 is an apocalyptic number.

3410402304042 is an abundant number, since it is smaller than the sum of its proper divisors (4282385439318).

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

3410402304042 is a wasteful number, since it uses less digits than its factorization.

3410402304042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122804 (or 122798 counting only the distinct ones).

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

Adding to 3410402304042 its reverse (2404032040143), we get a palindrome (5814434344185).

The spelling of 3410402304042 in words is "three trillion, four hundred ten billion, four hundred two million, three hundred four thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 1206 1809 3618 8233 16466 24699 49398 74097 114493 148194 222291 228986 343479 444582 551611 686958 1030437 1103222 1654833 2060874 3091311 3309666 4964499 6182622 7671031 9928998 14893497 15342062 23013093 29786994 46026186 69039279 138078558 207117837 414235674 942620869 1885241738 2827862607 5655725214 8483587821 16967175642 25450763463 50901526926 63155598223 126311196446 189466794669 378933589338 568400384007 1136800768014 1705201152021 3410402304042