Search a number
-
+
3414534054606 = 23231137193123131
BaseRepresentation
bin110001101100000010000…
…101101110001011001110
3110002102111202020010012200
4301230002011232023032
5421420431204221411
611132340522542330
7501456223404123
oct61540205561316
913072452203180
103414534054606
1110a7106503454
124719146679a6
131b9cb22c684c
14bb39b47074a
155dc470b3e56
hex31b0216e2ce

3414534054606 has 96 divisors (see below), whose sum is σ = 7696866917376. Its totient is φ = 1092809232000.

The previous prime is 3414534054601. The next prime is 3414534054641. The reversal of 3414534054606 is 6064504354143.

3414534054606 is a `hidden beast` number, since 3 + 4 + 1 + 4 + 5 + 34 + 0 + 5 + 4 + 606 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3414534054601) 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, 147605661 + ... + 147628791.

It is an arithmetic number, because the mean of its divisors is an integer number (80175697056).

Almost surely, 23414534054606 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3414534054606, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3848433458688).

3414534054606 is an abundant number, since it is smaller than the sum of its proper divisors (4282332862770).

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

3414534054606 is a wasteful number, since it uses less digits than its factorization.

3414534054606 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25238 (or 25235 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 3414534054606 in words is "three trillion, four hundred fourteen billion, five hundred thirty-four million, fifty-four thousand, six hundred six".

Divisors: 1 2 3 6 9 18 31 62 93 137 186 274 279 411 558 822 1233 1931 2466 3862 4247 5793 8494 11586 12741 17379 23131 25482 34758 38223 46262 59861 69393 76446 119722 138786 179583 208179 264547 359166 416358 529094 538749 717061 793641 1077498 1434122 1587282 2151183 2380923 3168947 4302366 4761846 6337894 6453549 8200957 9506841 12907098 16401914 19013682 24602871 28520523 44665961 49205742 57041046 73808613 89331922 98237357 133997883 147617226 196474714 267995766 294712071 401993649 589424142 803987298 884136213 1384644791 1768272426 2769289582 4153934373 6119236657 8307868746 12238473314 12461803119 18357709971 24923606238 36715419942 55073129913 110146259826 189696336367 379392672734 569089009101 1138178018202 1707267027303 3414534054606